What is the Greatest Common Factor of 53564 and 53577?

Greatest common factor (GCF) of 53564 and 53577 is 1.

GCF(53564,53577) = 1

We will now calculate the prime factors of 53564 and 53577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53564 and 53577.

How to find the GCF of 53564 and 53577?

We will first find the prime factorization of 53564 and 53577. After we will calculate the factors of 53564 and 53577 and find the biggest common factor number .

Step-1: Prime Factorization of 53564

Prime factors of 53564 are 2, 7, 1913. Prime factorization of 53564 in exponential form is:

53564 = 2² × 7¹ × 1913¹

Step-2: Prime Factorization of 53577

Prime factors of 53577 are 3, 5953. Prime factorization of 53577 in exponential form is:

53577 = 3² × 5953¹

Step-3: Factors of 53564

List of positive integer factors of 53564 that divides 53564 without a remainder.

1, 2, 4, 7, 14, 28, 1913, 3826, 7652, 13391, 26782

Step-4: Factors of 53577

List of positive integer factors of 53577 that divides 53564 without a remainder.

1, 3, 9, 5953, 17859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53564 and 53577. The biggest common factor number is the GCF number.
So the greatest common factor 53564 and 53577 is 1.

Also check out the Least Common Multiple of 53564 and 53577