GCF of 324 and 108

What is the GCF of 324 and 108?


GCF of 324 and 108

is 108

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What is the Greatest Common Factor of 324 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 324 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 324.
    2, 2, 3, 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 324.
    1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
  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 324 and 108 is 108.

GCD (Greatest Common Divisor) of 324 and 108 is 108.

HCF (Highest Common Factor) of 324 and 108 is 108.

Number GCF LCM
324 & 103 1 33372
324 & 104 4 8424
324 & 105 3 11340
324 & 106 2 17172
324 & 107 1 34668
324 & 108 108 324
324 & 109 1 35316
324 & 110 2 17820
324 & 111 3 11988
324 & 112 4 9072
324 & 113 1 36612