What is the Greatest Common Factor of 57609 and 57624?

Greatest common factor (GCF) of 57609 and 57624 is 3.

GCF(57609,57624) = 3

We will now calculate the prime factors of 57609 and 57624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57609 and 57624.

How to find the GCF of 57609 and 57624?

We will first find the prime factorization of 57609 and 57624. After we will calculate the factors of 57609 and 57624 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 57624

Prime factors of 57624 are 2, 3, 7. Prime factorization of 57624 in exponential form is:

57624 = 2³ × 3¹ × 7⁴

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 57624

List of positive integer factors of 57624 that divides 57609 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2401, 2744, 4116, 4802, 7203, 8232, 9604, 14406, 19208, 28812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57609 and 57624. The biggest common factor number is the GCF number.
So the greatest common factor 57609 and 57624 is 3.

Also check out the Least Common Multiple of 57609 and 57624