What is the Greatest Common Factor of 87612 and 87631?

Greatest common factor (GCF) of 87612 and 87631 is 1.

GCF(87612,87631) = 1

We will now calculate the prime factors of 87612 and 87631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87612 and 87631.

How to find the GCF of 87612 and 87631?

We will first find the prime factorization of 87612 and 87631. After we will calculate the factors of 87612 and 87631 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 87631

Prime factors of 87631 are 87631. Prime factorization of 87631 in exponential form is:

87631 = 87631¹

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 87631

List of positive integer factors of 87631 that divides 87612 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87612 and 87631. The biggest common factor number is the GCF number.
So the greatest common factor 87612 and 87631 is 1.

Also check out the Least Common Multiple of 87612 and 87631