What is the Greatest Common Factor of 87612 and 87620?

Greatest common factor (GCF) of 87612 and 87620 is 4.

GCF(87612,87620) = 4

We will now calculate the prime factors of 87612 and 87620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87612 and 87620.

How to find the GCF of 87612 and 87620?

We will first find the prime factorization of 87612 and 87620. After we will calculate the factors of 87612 and 87620 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 87620

Prime factors of 87620 are 2, 5, 13, 337. Prime factorization of 87620 in exponential form is:

87620 = 2² × 5¹ × 13¹ × 337¹

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 87620

List of positive integer factors of 87620 that divides 87612 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 337, 674, 1348, 1685, 3370, 4381, 6740, 8762, 17524, 21905, 43810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87612 and 87620. The biggest common factor number is the GCF number.
So the greatest common factor 87612 and 87620 is 4.

Also check out the Least Common Multiple of 87612 and 87620