GCF of 1009 and 656

What is the GCF of 1009 and 656?


GCF of 1009 and 656

is 1

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What is the Greatest Common Factor of 1009 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 1009 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 1009.
    1009
  2. Find the prime factors of the second number 656.
    2, 2, 2, 2, 41
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 1009.
    1, 1009
  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,
    1

GCF (Greatest Common Factor) of 1009 and 656 is 1.

GCD (Greatest Common Divisor) of 1009 and 656 is 1.

HCF (Highest Common Factor) of 1009 and 656 is 1.

Number GCF LCM
1009 & 651 1 656859
1009 & 652 1 657868
1009 & 653 1 658877
1009 & 654 1 659886
1009 & 655 1 660895
1009 & 656 1 661904
1009 & 657 1 662913
1009 & 658 1 663922
1009 & 659 1 664931
1009 & 660 1 665940
1009 & 661 1 666949