GCF of 28 and 70

What is the GCF of 28 and 70?

GCF of 28 and 70

is 14

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Greatest Common Factor

What is the Greatest Common Factor of 28 and 70? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 28 and 70 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 28.
    2, 2, 7
  2. Find the prime factors of the second number 70.
    2, 5, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    14

Factors Method:

  1. Find the factors of the first number 28.
    1, 2, 4, 7, 14, 28
  2. Find the factors of the second number 70.
    1, 2, 5, 7, 10, 14, 35, 70
  3. The biggest common factor number is the GCF value. Which is,
    14

Number GCF LCM
28 & 65 1 1820
28 & 66 2 924
28 & 67 1 1876
28 & 68 4 476
28 & 69 1 1932
28 & 70 14 140
28 & 71 1 1988
28 & 72 4 504
28 & 73 1 2044
28 & 74 2 1036
28 & 75 1 2100

GCF (Greatest Common Factor) of 28 and 70 is 14.

GCD (Greatest Common Divisor) of 28 and 70 is 14.

HCF (Highest Common Factor) of 28 and 70 is 14.
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