GCF of 9996 and 868

What is the GCF of 9996 and 868?


GCF of 9996 and 868

is 28

Formula How to

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What is the Greatest Common Factor of 9996 and 868? 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 9996 and 868 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 9996.
    2, 2, 3, 7, 7, 17
  2. Find the prime factors of the second number 868.
    2, 2, 7, 31
  3. Multiply of all the common prime factors is the GCF value. Which is,
    28

Factors Method:

  1. Find the factors of the first number 9996.
    1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996
  2. Find the factors of the second number 868.
    1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
  3. The biggest common factor number is the GCF value. Which is,
    28

GCF (Greatest Common Factor) of 9996 and 868 is 28.

GCD (Greatest Common Divisor) of 9996 and 868 is 28.

HCF (Highest Common Factor) of 9996 and 868 is 28.

Number GCF LCM
9996 & 863 1 8626548
9996 & 864 12 719712
9996 & 865 1 8646540
9996 & 866 2 4328268
9996 & 867 51 169932
9996 & 868 28 309876
9996 & 869 1 8686524
9996 & 870 6 1449420
9996 & 871 1 8706516
9996 & 872 4 2179128
9996 & 873 3 2908836