GCF of 96 and 564

What is the GCF of 96 and 564?


GCF of 96 and 564

is 12

Formula How to

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What is the Greatest Common Factor of 96 and 564? 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 96 and 564 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 96.
    2, 2, 2, 2, 2, 3
  2. Find the prime factors of the second number 564.
    2, 2, 3, 47
  3. Multiply of all the common prime factors is the GCF value. Which is,
    12

Factors Method:

  1. Find the factors of the first number 96.
    1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
  2. Find the factors of the second number 564.
    1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
  3. The biggest common factor number is the GCF value. Which is,
    12

GCF (Greatest Common Factor) of 96 and 564 is 12.

GCD (Greatest Common Divisor) of 96 and 564 is 12.

HCF (Highest Common Factor) of 96 and 564 is 12.

Number GCF LCM
96 & 559 1 53664
96 & 560 16 3360
96 & 561 3 17952
96 & 562 2 26976
96 & 563 1 54048
96 & 564 12 4512
96 & 565 1 54240
96 & 566 2 27168
96 & 567 3 18144
96 & 568 8 6816
96 & 569 1 54624