What is the Greatest Common Factor of 87552 and 87568?

Greatest common factor (GCF) of 87552 and 87568 is 16.

GCF(87552,87568) = 16

We will now calculate the prime factors of 87552 and 87568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87552 and 87568.

How to find the GCF of 87552 and 87568?

We will first find the prime factorization of 87552 and 87568. After we will calculate the factors of 87552 and 87568 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 87568

Prime factors of 87568 are 2, 13, 421. Prime factorization of 87568 in exponential form is:

87568 = 2⁴ × 13¹ × 421¹

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 87568

List of positive integer factors of 87568 that divides 87552 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 421, 842, 1684, 3368, 5473, 6736, 10946, 21892, 43784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87552 and 87568. The biggest common factor number is the GCF number.
So the greatest common factor 87552 and 87568 is 16.

Also check out the Least Common Multiple of 87552 and 87568