What is the Greatest Common Factor of 87612 and 87629?

Greatest common factor (GCF) of 87612 and 87629 is 1.

GCF(87612,87629) = 1

We will now calculate the prime factors of 87612 and 87629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87612 and 87629.

How to find the GCF of 87612 and 87629?

We will first find the prime factorization of 87612 and 87629. After we will calculate the factors of 87612 and 87629 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 87629

Prime factors of 87629 are 87629. Prime factorization of 87629 in exponential form is:

87629 = 87629¹

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 87629

List of positive integer factors of 87629 that divides 87612 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87612 and 87629. The biggest common factor number is the GCF number.
So the greatest common factor 87612 and 87629 is 1.

Also check out the Least Common Multiple of 87612 and 87629