What is the Greatest Common Factor of 86676 and 86684?

Greatest common factor (GCF) of 86676 and 86684 is 4.

GCF(86676,86684) = 4

We will now calculate the prime factors of 86676 and 86684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86676 and 86684.

How to find the GCF of 86676 and 86684?

We will first find the prime factorization of 86676 and 86684. After we will calculate the factors of 86676 and 86684 and find the biggest common factor number .

Step-1: Prime Factorization of 86676

Prime factors of 86676 are 2, 3, 31, 233. Prime factorization of 86676 in exponential form is:

86676 = 2² × 3¹ × 31¹ × 233¹

Step-2: Prime Factorization of 86684

Prime factors of 86684 are 2, 13, 1667. Prime factorization of 86684 in exponential form is:

86684 = 2² × 13¹ × 1667¹

Step-3: Factors of 86676

List of positive integer factors of 86676 that divides 86676 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 233, 372, 466, 699, 932, 1398, 2796, 7223, 14446, 21669, 28892, 43338

Step-4: Factors of 86684

List of positive integer factors of 86684 that divides 86676 without a remainder.

1, 2, 4, 13, 26, 52, 1667, 3334, 6668, 21671, 43342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86676 and 86684. The biggest common factor number is the GCF number.
So the greatest common factor 86676 and 86684 is 4.

Also check out the Least Common Multiple of 86676 and 86684