What is the Greatest Common Factor of 87606 and 87612?

Greatest common factor (GCF) of 87606 and 87612 is 6.

GCF(87606,87612) = 6

We will now calculate the prime factors of 87606 and 87612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87606 and 87612.

How to find the GCF of 87606 and 87612?

We will first find the prime factorization of 87606 and 87612. After we will calculate the factors of 87606 and 87612 and find the biggest common factor number .

Step-1: Prime Factorization of 87606

Prime factors of 87606 are 2, 3, 31, 157. Prime factorization of 87606 in exponential form is:

87606 = 2¹ × 3² × 31¹ × 157¹

Step-2: 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-3: Factors of 87606

List of positive integer factors of 87606 that divides 87606 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 157, 186, 279, 314, 471, 558, 942, 1413, 2826, 4867, 9734, 14601, 29202, 43803

Step-4: Factors of 87612

List of positive integer factors of 87612 that divides 87606 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87606 and 87612. The biggest common factor number is the GCF number.
So the greatest common factor 87606 and 87612 is 6.

Also check out the Least Common Multiple of 87606 and 87612