What is the Greatest Common Factor of 57624 and 57628?

Greatest common factor (GCF) of 57624 and 57628 is 4.

GCF(57624,57628) = 4

We will now calculate the prime factors of 57624 and 57628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57624 and 57628.

How to find the GCF of 57624 and 57628?

We will first find the prime factorization of 57624 and 57628. After we will calculate the factors of 57624 and 57628 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57628

Prime factors of 57628 are 2, 14407. Prime factorization of 57628 in exponential form is:

57628 = 2² × 14407¹

Step-3: Factors of 57624

List of positive integer factors of 57624 that divides 57624 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

Step-4: Factors of 57628

List of positive integer factors of 57628 that divides 57624 without a remainder.

1, 2, 4, 14407, 28814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57624 and 57628. The biggest common factor number is the GCF number.
So the greatest common factor 57624 and 57628 is 4.

Also check out the Least Common Multiple of 57624 and 57628