GCF of 1008 and 867

What is the GCF of 1008 and 867?


GCF of 1008 and 867

is 3

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What is the Greatest Common Factor of 1008 and 867? 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 867 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 867.
    3, 17, 17
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

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 867.
    1, 3, 17, 51, 289, 867
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 1008 and 867 is 3.

GCD (Greatest Common Divisor) of 1008 and 867 is 3.

HCF (Highest Common Factor) of 1008 and 867 is 3.

Number GCF LCM
1008 & 862 2 434448
1008 & 863 1 869904
1008 & 864 144 6048
1008 & 865 1 871920
1008 & 866 2 436464
1008 & 867 3 291312
1008 & 868 28 31248
1008 & 869 1 875952
1008 & 870 6 146160
1008 & 871 1 877968
1008 & 872 8 109872