What is the Greatest Common Factor of 52589 and 52608?

Greatest common factor (GCF) of 52589 and 52608 is 1.

GCF(52589,52608) = 1

We will now calculate the prime factors of 52589 and 52608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52589 and 52608.

How to find the GCF of 52589 and 52608?

We will first find the prime factorization of 52589 and 52608. After we will calculate the factors of 52589 and 52608 and find the biggest common factor number .

Step-1: Prime Factorization of 52589

Prime factors of 52589 are 43, 1223. Prime factorization of 52589 in exponential form is:

52589 = 43¹ × 1223¹

Step-2: 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-3: Factors of 52589

List of positive integer factors of 52589 that divides 52589 without a remainder.

1, 43, 1223

Step-4: Factors of 52608

List of positive integer factors of 52608 that divides 52589 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52589 and 52608. The biggest common factor number is the GCF number.
So the greatest common factor 52589 and 52608 is 1.

Also check out the Least Common Multiple of 52589 and 52608