What is the Greatest Common Factor of 52559 and 52577?

Greatest common factor (GCF) of 52559 and 52577 is 1.

GCF(52559,52577) = 1

We will now calculate the prime factors of 52559 and 52577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52559 and 52577.

How to find the GCF of 52559 and 52577?

We will first find the prime factorization of 52559 and 52577. After we will calculate the factors of 52559 and 52577 and find the biggest common factor number .

Step-1: Prime Factorization of 52559

Prime factors of 52559 are 13, 311. Prime factorization of 52559 in exponential form is:

52559 = 13² × 311¹

Step-2: Prime Factorization of 52577

Prime factors of 52577 are 7, 29, 37. Prime factorization of 52577 in exponential form is:

52577 = 7² × 29¹ × 37¹

Step-3: Factors of 52559

List of positive integer factors of 52559 that divides 52559 without a remainder.

1, 13, 169, 311, 4043

Step-4: Factors of 52577

List of positive integer factors of 52577 that divides 52559 without a remainder.

1, 7, 29, 37, 49, 203, 259, 1073, 1421, 1813, 7511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52559 and 52577. The biggest common factor number is the GCF number.
So the greatest common factor 52559 and 52577 is 1.

Also check out the Least Common Multiple of 52559 and 52577