What is the Greatest Common Factor of 52608 and 52627?

Greatest common factor (GCF) of 52608 and 52627 is 1.

GCF(52608,52627) = 1

We will now calculate the prime factors of 52608 and 52627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52608 and 52627.

How to find the GCF of 52608 and 52627?

We will first find the prime factorization of 52608 and 52627. After we will calculate the factors of 52608 and 52627 and find the biggest common factor number .

Step-1: Prime Factorization of 52608

Prime factors of 52608 are 2, 3, 137. Prime factorization of 52608 in exponential form is:

52608 = 2⁷ × 3¹ × 137¹

Step-2: Prime Factorization of 52627

Prime factors of 52627 are 52627. Prime factorization of 52627 in exponential form is:

52627 = 52627¹

Step-3: Factors of 52608

List of positive integer factors of 52608 that divides 52608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 137, 192, 274, 384, 411, 548, 822, 1096, 1644, 2192, 3288, 4384, 6576, 8768, 13152, 17536, 26304

Step-4: Factors of 52627

List of positive integer factors of 52627 that divides 52608 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52608 and 52627. The biggest common factor number is the GCF number.
So the greatest common factor 52608 and 52627 is 1.

Also check out the Least Common Multiple of 52608 and 52627