What is the Greatest Common Factor of 57609 and 57621?

Greatest common factor (GCF) of 57609 and 57621 is 3.

GCF(57609,57621) = 3

We will now calculate the prime factors of 57609 and 57621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57609 and 57621.

How to find the GCF of 57609 and 57621?

We will first find the prime factorization of 57609 and 57621. After we will calculate the factors of 57609 and 57621 and find the biggest common factor number .

Step-1: Prime Factorization of 57609

Prime factors of 57609 are 3, 37, 173. Prime factorization of 57609 in exponential form is:

57609 = 3² × 37¹ × 173¹

Step-2: Prime Factorization of 57621

Prime factors of 57621 are 3, 19207. Prime factorization of 57621 in exponential form is:

57621 = 3¹ × 19207¹

Step-3: Factors of 57609

List of positive integer factors of 57609 that divides 57609 without a remainder.

1, 3, 9, 37, 111, 173, 333, 519, 1557, 6401, 19203

Step-4: Factors of 57621

List of positive integer factors of 57621 that divides 57609 without a remainder.

1, 3, 19207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57609 and 57621. The biggest common factor number is the GCF number.
So the greatest common factor 57609 and 57621 is 3.

Also check out the Least Common Multiple of 57609 and 57621