What is the Greatest Common Factor of 86982 and 86996?

Greatest common factor (GCF) of 86982 and 86996 is 14.

GCF(86982,86996) = 14

We will now calculate the prime factors of 86982 and 86996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86982 and 86996.

How to find the GCF of 86982 and 86996?

We will first find the prime factorization of 86982 and 86996. After we will calculate the factors of 86982 and 86996 and find the biggest common factor number .

Step-1: Prime Factorization of 86982

Prime factors of 86982 are 2, 3, 7, 19, 109. Prime factorization of 86982 in exponential form is:

86982 = 2¹ × 3¹ × 7¹ × 19¹ × 109¹

Step-2: Prime Factorization of 86996

Prime factors of 86996 are 2, 7, 13, 239. Prime factorization of 86996 in exponential form is:

86996 = 2² × 7¹ × 13¹ × 239¹

Step-3: Factors of 86982

List of positive integer factors of 86982 that divides 86982 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 109, 114, 133, 218, 266, 327, 399, 654, 763, 798, 1526, 2071, 2289, 4142, 4578, 6213, 12426, 14497, 28994, 43491

Step-4: Factors of 86996

List of positive integer factors of 86996 that divides 86982 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 239, 364, 478, 956, 1673, 3107, 3346, 6214, 6692, 12428, 21749, 43498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86982 and 86996. The biggest common factor number is the GCF number.
So the greatest common factor 86982 and 86996 is 14.

Also check out the Least Common Multiple of 86982 and 86996