GCF of 324 and 99

What is the GCF of 324 and 99?


GCF of 324 and 99

is 9

Formula How to

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What is the Greatest Common Factor of 324 and 99? 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 99 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 99.
    3, 3, 11
  3. Multiply of all the common prime factors is the GCF value. Which is,
    9

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 99.
    1, 3, 9, 11, 33, 99
  3. The biggest common factor number is the GCF value. Which is,
    9

GCF (Greatest Common Factor) of 324 and 99 is 9.

GCD (Greatest Common Divisor) of 324 and 99 is 9.

HCF (Highest Common Factor) of 324 and 99 is 9.

Number GCF LCM
324 & 94 2 15228
324 & 95 1 30780
324 & 96 12 2592
324 & 97 1 31428
324 & 98 2 15876
324 & 99 9 3564
324 & 100 4 8100
324 & 101 1 32724
324 & 102 6 5508
324 & 103 1 33372
324 & 104 4 8424