GCF the 28 and 70 is the largest possible number that divides 28 and also 70 precisely without any type of remainder. The factors of 28 and 70 space 1, 2, 4, 7, 14, 28 and also 1, 2, 5, 7, 10, 14, 35, 70 respectively. There space 3 frequently used techniques to uncover the GCF that 28 and 70 - lengthy division, prime factorization, and Euclidean algorithm.

You are watching: What is the gcf of 28 and 70

1.GCF of 28 and 70
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 28 and also 70 is 14.

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Explanation:

The GCF of two non-zero integers, x(28) and y(70), is the greatest positive essence m(14) the divides both x(28) and also y(70) without any remainder.


The approaches to find the GCF of 28 and also 70 are described below.

Prime administrate MethodListing usual FactorsLong department Method

GCF the 28 and also 70 by element Factorization

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Prime factorization of 28 and 70 is (2 × 2 × 7) and also (2 × 5 × 7) respectively. As visible, 28 and 70 have typical prime factors. Hence, the GCF of 28 and also 70 is 2 × 7 = 14.

GCF of 28 and 70 through Listing typical Factors

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Factors the 28: 1, 2, 4, 7, 14, 28Factors the 70: 1, 2, 5, 7, 10, 14, 35, 70

There room 4 common factors the 28 and 70, that room 1, 2, 14, and also 7. Therefore, the greatest common factor the 28 and also 70 is 14.

GCF the 28 and 70 by long Division

GCF of 28 and also 70 is the divisor the we gain when the remainder becomes 0 after ~ doing long division repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will divide the divisor of action 1 (28) by the remainder (14).Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (14) is the GCF of 28 and 70.

☛ likewise Check:


GCF of 28 and 70 Examples


Example 1: For two numbers, GCF = 14 and LCM = 140. If one number is 28, find the various other number.

Solution:

Given: GCF (y, 28) = 14 and LCM (y, 28) = 140∵ GCF × LCM = 28 × (y)⇒ y = (GCF × LCM)/28⇒ y = (14 × 140)/28⇒ y = 70Therefore, the other number is 70.


Example 2: uncover the GCF the 28 and 70, if your LCM is 140.

Solution:

∵ LCM × GCF = 28 × 70⇒ GCF(28, 70) = (28 × 70)/140 = 14Therefore, the greatest common factor the 28 and also 70 is 14.


Example 3: The product of two numbers is 1960. If their GCF is 14, what is your LCM?

Solution:

Given: GCF = 14 and also product of numbers = 1960∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 1960/14Therefore, the LCM is 140.


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FAQs ~ above GCF that 28 and 70

What is the GCF of 28 and also 70?

The GCF that 28 and also 70 is 14. To calculate the greatest typical factor (GCF) the 28 and also 70, we require to variable each number (factors of 28 = 1, 2, 4, 7, 14, 28; components of 70 = 1, 2, 5, 7, 10, 14, 35, 70) and choose the greatest variable that precisely divides both 28 and also 70, i.e., 14.

What is the Relation between LCM and GCF of 28, 70?

The following equation can be provided to to express the relation between Least usual Multiple (LCM) and also GCF of 28 and also 70, i.e. GCF × LCM = 28 × 70.

If the GCF that 70 and also 28 is 14, find its LCM.

GCF(70, 28) × LCM(70, 28) = 70 × 28Since the GCF that 70 and 28 = 14⇒ 14 × LCM(70, 28) = 1960Therefore, LCM = 140☛ Greatest usual Factor Calculator

How to uncover the GCF the 28 and 70 by Long department Method?

To find the GCF that 28, 70 using long department method, 70 is divided by 28. The corresponding divisor (14) once remainder equates to 0 is taken as GCF.

See more: How Many Ounces In A Potato ? How Much Does A Large Potato Weigh

How to find the GCF of 28 and 70 by element Factorization?

To discover the GCF of 28 and 70, we will find the element factorization the the given numbers, i.e. 28 = 2 × 2 × 7; 70 = 2 × 5 × 7.⇒ since 2, 7 are common terms in the element factorization the 28 and also 70. Hence, GCF(28, 70) = 2 × 7 = 14☛ What are Prime Numbers?

What space the methods to find GCF that 28 and also 70?

There room three frequently used techniques to discover the GCF the 28 and 70.