What is the Greatest Common Factor of 87612 and 87617?

Greatest common factor (GCF) of 87612 and 87617 is 1.

GCF(87612,87617) = 1

We will now calculate the prime factors of 87612 and 87617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87612 and 87617.

How to find the GCF of 87612 and 87617?

We will first find the prime factorization of 87612 and 87617. After we will calculate the factors of 87612 and 87617 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 87617

Prime factors of 87617 are 41, 2137. Prime factorization of 87617 in exponential form is:

87617 = 41¹ × 2137¹

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 87617

List of positive integer factors of 87617 that divides 87612 without a remainder.

1, 41, 2137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87612 and 87617. The biggest common factor number is the GCF number.
So the greatest common factor 87612 and 87617 is 1.

Also check out the Least Common Multiple of 87612 and 87617