What is the Greatest Common Factor of 87534 and 87552?

Greatest common factor (GCF) of 87534 and 87552 is 18.

GCF(87534,87552) = 18

We will now calculate the prime factors of 87534 and 87552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87534 and 87552.

How to find the GCF of 87534 and 87552?

We will first find the prime factorization of 87534 and 87552. After we will calculate the factors of 87534 and 87552 and find the biggest common factor number .

Step-1: Prime Factorization of 87534

Prime factors of 87534 are 2, 3, 1621. Prime factorization of 87534 in exponential form is:

87534 = 2¹ × 3³ × 1621¹

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 87534

List of positive integer factors of 87534 that divides 87534 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1621, 3242, 4863, 9726, 14589, 29178, 43767

Step-4: Factors of 87552

List of positive integer factors of 87552 that divides 87534 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 87534 and 87552. The biggest common factor number is the GCF number.
So the greatest common factor 87534 and 87552 is 18.

Also check out the Least Common Multiple of 87534 and 87552