What is the Greatest Common Factor of 87535 and 87552?

Greatest common factor (GCF) of 87535 and 87552 is 1.

GCF(87535,87552) = 1

We will now calculate the prime factors of 87535 and 87552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87535 and 87552.

How to find the GCF of 87535 and 87552?

We will first find the prime factorization of 87535 and 87552. After we will calculate the factors of 87535 and 87552 and find the biggest common factor number .

Step-1: Prime Factorization of 87535

Prime factors of 87535 are 5, 7, 41, 61. Prime factorization of 87535 in exponential form is:

87535 = 5¹ × 7¹ × 41¹ × 61¹

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 87535

List of positive integer factors of 87535 that divides 87535 without a remainder.

1, 5, 7, 35, 41, 61, 205, 287, 305, 427, 1435, 2135, 2501, 12505, 17507

Step-4: Factors of 87552

List of positive integer factors of 87552 that divides 87535 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 87535 and 87552. The biggest common factor number is the GCF number.
So the greatest common factor 87535 and 87552 is 1.

Also check out the Least Common Multiple of 87535 and 87552