What is the Greatest Common Factor of 57604 and 57624?

Greatest common factor (GCF) of 57604 and 57624 is 4.

GCF(57604,57624) = 4

We will now calculate the prime factors of 57604 and 57624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57604 and 57624.

How to find the GCF of 57604 and 57624?

We will first find the prime factorization of 57604 and 57624. After we will calculate the factors of 57604 and 57624 and find the biggest common factor number .

Step-1: Prime Factorization of 57604

Prime factors of 57604 are 2, 14401. Prime factorization of 57604 in exponential form is:

57604 = 2² × 14401¹

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 57604

List of positive integer factors of 57604 that divides 57604 without a remainder.

1, 2, 4, 14401, 28802

Step-4: Factors of 57624

List of positive integer factors of 57624 that divides 57604 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 57604 and 57624. The biggest common factor number is the GCF number.
So the greatest common factor 57604 and 57624 is 4.

Also check out the Least Common Multiple of 57604 and 57624