What is the Greatest Common Factor of 87599 and 87612?

Greatest common factor (GCF) of 87599 and 87612 is 1.

GCF(87599,87612) = 1

We will now calculate the prime factors of 87599 and 87612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87599 and 87612.

How to find the GCF of 87599 and 87612?

We will first find the prime factorization of 87599 and 87612. After we will calculate the factors of 87599 and 87612 and find the biggest common factor number .

Step-1: Prime Factorization of 87599

Prime factors of 87599 are 251, 349. Prime factorization of 87599 in exponential form is:

87599 = 251¹ × 349¹

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 87599

List of positive integer factors of 87599 that divides 87599 without a remainder.

1, 251, 349

Step-4: Factors of 87612

List of positive integer factors of 87612 that divides 87599 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 87599 and 87612. The biggest common factor number is the GCF number.
So the greatest common factor 87599 and 87612 is 1.

Also check out the Least Common Multiple of 87599 and 87612