GCF of 108 and 108

What is the GCF of 108 and 108?


GCF of 108 and 108

is 108

Formula How to

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What is the Greatest Common Factor of 108 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 108 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 108.
    2, 2, 3, 3, 3
  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,
    108

Factors Method:

  1. Find the factors of the first number 108.
    1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
  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,
    108

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

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

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

Number GCF LCM
108 & 103 1 11124
108 & 104 4 2808
108 & 105 3 3780
108 & 106 2 5724
108 & 107 1 11556
108 & 108 108 108
108 & 109 1 11772
108 & 110 2 5940
108 & 111 3 3996
108 & 112 4 3024
108 & 113 1 12204