What is the Greatest Common Factor of 57627 and 57636?

Greatest common factor (GCF) of 57627 and 57636 is 9.

GCF(57627,57636) = 9

We will now calculate the prime factors of 57627 and 57636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57627 and 57636.

How to find the GCF of 57627 and 57636?

We will first find the prime factorization of 57627 and 57636. After we will calculate the factors of 57627 and 57636 and find the biggest common factor number .

Step-1: Prime Factorization of 57627

Prime factors of 57627 are 3, 19, 337. Prime factorization of 57627 in exponential form is:

57627 = 3² × 19¹ × 337¹

Step-2: Prime Factorization of 57636

Prime factors of 57636 are 2, 3, 1601. Prime factorization of 57636 in exponential form is:

57636 = 2² × 3² × 1601¹

Step-3: Factors of 57627

List of positive integer factors of 57627 that divides 57627 without a remainder.

1, 3, 9, 19, 57, 171, 337, 1011, 3033, 6403, 19209

Step-4: Factors of 57636

List of positive integer factors of 57636 that divides 57627 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1601, 3202, 4803, 6404, 9606, 14409, 19212, 28818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57627 and 57636. The biggest common factor number is the GCF number.
So the greatest common factor 57627 and 57636 is 9.

Also check out the Least Common Multiple of 57627 and 57636