What is the Greatest Common Factor of 87552 and 87562?

Greatest common factor (GCF) of 87552 and 87562 is 2.

GCF(87552,87562) = 2

We will now calculate the prime factors of 87552 and 87562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87552 and 87562.

How to find the GCF of 87552 and 87562?

We will first find the prime factorization of 87552 and 87562. After we will calculate the factors of 87552 and 87562 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 87562

Prime factors of 87562 are 2, 43781. Prime factorization of 87562 in exponential form is:

87562 = 2¹ × 43781¹

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 87562

List of positive integer factors of 87562 that divides 87552 without a remainder.

1, 2, 43781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87552 and 87562. The biggest common factor number is the GCF number.
So the greatest common factor 87552 and 87562 is 2.

Also check out the Least Common Multiple of 87552 and 87562