GCF of 252 and 108

What is the GCF of 252 and 108?


GCF of 252 and 108

is 36

Formula How to

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What is the Greatest Common Factor of 252 and 108? 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 252 and 108 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 252.
    2, 2, 3, 3, 7
  2. Find the prime factors of the second number 108.
    2, 2, 3, 3, 3
  3. Multiply of all the common prime factors is the GCF value. Which is,
    36

Factors Method:

  1. Find the factors of the first number 252.
    1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
  2. Find the factors of the second number 108.
    1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
  3. The biggest common factor number is the GCF value. Which is,
    36

Number GCF LCM
252 & 103 1 25956
252 & 104 4 6552
252 & 105 21 1260
252 & 106 2 13356
252 & 107 1 26964
252 & 108 36 756
252 & 109 1 27468
252 & 110 2 13860
252 & 111 3 9324
252 & 112 28 1008
252 & 113 1 28476

GCF (Greatest Common Factor) of 252 and 108 is 36.

GCD (Greatest Common Divisor) of 252 and 108 is 36.

HCF (Highest Common Factor) of 252 and 108 is 36.