What is the Greatest Common Factor of 87552 and 87564?

Greatest common factor (GCF) of 87552 and 87564 is 12.

GCF(87552,87564) = 12

We will now calculate the prime factors of 87552 and 87564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87552 and 87564.

How to find the GCF of 87552 and 87564?

We will first find the prime factorization of 87552 and 87564. After we will calculate the factors of 87552 and 87564 and find the biggest common factor number .

Step-1: Prime Factorization of 87552

Prime factors of 87552 are 2, 3, 19. Prime factorization of 87552 in exponential form is:

87552 = 2⁹ × 3² × 19¹

Step-2: Prime Factorization of 87564

Prime factors of 87564 are 2, 3, 7297. Prime factorization of 87564 in exponential form is:

87564 = 2² × 3¹ × 7297¹

Step-3: Factors of 87552

List of positive integer factors of 87552 that divides 87552 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 64, 72, 76, 96, 114, 128, 144, 152, 171, 192, 228, 256, 288, 304, 342, 384, 456, 512, 576, 608, 684, 768, 912, 1152, 1216, 1368, 1536, 1824, 2304, 2432, 2736, 3648, 4608, 4864, 5472, 7296, 9728, 10944, 14592, 21888, 29184, 43776

Step-4: Factors of 87564

List of positive integer factors of 87564 that divides 87552 without a remainder.

1, 2, 3, 4, 6, 12, 7297, 14594, 21891, 29188, 43782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87552 and 87564. The biggest common factor number is the GCF number.
So the greatest common factor 87552 and 87564 is 12.

Also check out the Least Common Multiple of 87552 and 87564