GCF of 1008 and 656

What is the GCF of 1008 and 656?


GCF of 1008 and 656

is 16

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What is the Greatest Common Factor of 1008 and 656? 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 1008 and 656 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1008.
    2, 2, 2, 2, 3, 3, 7
  2. Find the prime factors of the second number 656.
    2, 2, 2, 2, 41
  3. Multiply of all the common prime factors is the GCF value. Which is,
    16

Factors Method:

  1. Find the factors of the first number 1008.
    1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
  2. Find the factors of the second number 656.
    1, 2, 4, 8, 16, 41, 82, 164, 328, 656
  3. The biggest common factor number is the GCF value. Which is,
    16

GCF (Greatest Common Factor) of 1008 and 656 is 16.

GCD (Greatest Common Divisor) of 1008 and 656 is 16.

HCF (Highest Common Factor) of 1008 and 656 is 16.

Number GCF LCM
1008 & 651 21 31248
1008 & 652 4 164304
1008 & 653 1 658224
1008 & 654 6 109872
1008 & 655 1 660240
1008 & 656 16 41328
1008 & 657 9 73584
1008 & 658 14 47376
1008 & 659 1 664272
1008 & 660 12 55440
1008 & 661 1 666288