What is the Greatest Common Factor of 87540 and 87552?

Greatest common factor (GCF) of 87540 and 87552 is 12.

GCF(87540,87552) = 12

We will now calculate the prime factors of 87540 and 87552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87540 and 87552.

How to find the GCF of 87540 and 87552?

We will first find the prime factorization of 87540 and 87552. After we will calculate the factors of 87540 and 87552 and find the biggest common factor number .

Step-1: Prime Factorization of 87540

Prime factors of 87540 are 2, 3, 5, 1459. Prime factorization of 87540 in exponential form is:

87540 = 2² × 3¹ × 5¹ × 1459¹

Step-2: 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-3: Factors of 87540

List of positive integer factors of 87540 that divides 87540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1459, 2918, 4377, 5836, 7295, 8754, 14590, 17508, 21885, 29180, 43770

Step-4: Factors of 87552

List of positive integer factors of 87552 that divides 87540 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87540 and 87552. The biggest common factor number is the GCF number.
So the greatest common factor 87540 and 87552 is 12.

Also check out the Least Common Multiple of 87540 and 87552