What is the Greatest Common Factor of 87612 and 87616?

Greatest common factor (GCF) of 87612 and 87616 is 4.

GCF(87612,87616) = 4

We will now calculate the prime factors of 87612 and 87616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87612 and 87616.

How to find the GCF of 87612 and 87616?

We will first find the prime factorization of 87612 and 87616. After we will calculate the factors of 87612 and 87616 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 87616

Prime factors of 87616 are 2, 37. Prime factorization of 87616 in exponential form is:

87616 = 2⁶ × 37²

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 87616

List of positive integer factors of 87616 that divides 87612 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 1369, 2368, 2738, 5476, 10952, 21904, 43808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87612 and 87616. The biggest common factor number is the GCF number.
So the greatest common factor 87612 and 87616 is 4.

Also check out the Least Common Multiple of 87612 and 87616