What is the Greatest Common Factor of 87612 and 87627?

Greatest common factor (GCF) of 87612 and 87627 is 3.

GCF(87612,87627) = 3

We will now calculate the prime factors of 87612 and 87627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87612 and 87627.

How to find the GCF of 87612 and 87627?

We will first find the prime factorization of 87612 and 87627. After we will calculate the factors of 87612 and 87627 and find the biggest common factor number .

Step-1: Prime Factorization of 87612

Prime factors of 87612 are 2, 3, 7, 149. Prime factorization of 87612 in exponential form is:

87612 = 2² × 3¹ × 7² × 149¹

Step-2: Prime Factorization of 87627

Prime factors of 87627 are 3, 29209. Prime factorization of 87627 in exponential form is:

87627 = 3¹ × 29209¹

Step-3: Factors of 87612

List of positive integer factors of 87612 that divides 87612 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 149, 196, 294, 298, 447, 588, 596, 894, 1043, 1788, 2086, 3129, 4172, 6258, 7301, 12516, 14602, 21903, 29204, 43806

Step-4: Factors of 87627

List of positive integer factors of 87627 that divides 87612 without a remainder.

1, 3, 29209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87612 and 87627. The biggest common factor number is the GCF number.
So the greatest common factor 87612 and 87627 is 3.

Also check out the Least Common Multiple of 87612 and 87627