GCF of 10008 and 872

What is the GCF of 10008 and 872?


GCF of 10008 and 872

is 8

Formula How to

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What is the Greatest Common Factor of 10008 and 872? 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 10008 and 872 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 10008.
    2, 2, 2, 3, 3, 139
  2. Find the prime factors of the second number 872.
    2, 2, 2, 109
  3. Multiply of all the common prime factors is the GCF value. Which is,
    8

Factors Method:

  1. Find the factors of the first number 10008.
    1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 139, 278, 417, 556, 834, 1112, 1251, 1668, 2502, 3336, 5004, 10008
  2. Find the factors of the second number 872.
    1, 2, 4, 8, 109, 218, 436, 872
  3. The biggest common factor number is the GCF value. Which is,
    8

GCF (Greatest Common Factor) of 10008 and 872 is 8.

GCD (Greatest Common Divisor) of 10008 and 872 is 8.

HCF (Highest Common Factor) of 10008 and 872 is 8.

Number GCF LCM
10008 & 867 3 2892312
10008 & 868 4 2171736
10008 & 869 1 8696952
10008 & 870 6 1451160
10008 & 871 1 8716968
10008 & 872 8 1090872
10008 & 873 9 970776
10008 & 874 2 4373496
10008 & 875 1 8757000
10008 & 876 12 730584
10008 & 877 1 8777016