What is the Greatest Common Factor of 57204 and 57224?

Greatest common factor (GCF) of 57204 and 57224 is 4.

GCF(57204,57224) = 4

We will now calculate the prime factors of 57204 and 57224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57204 and 57224.

How to find the GCF of 57204 and 57224?

We will first find the prime factorization of 57204 and 57224. After we will calculate the factors of 57204 and 57224 and find the biggest common factor number .

Step-1: Prime Factorization of 57204

Prime factors of 57204 are 2, 3, 7, 227. Prime factorization of 57204 in exponential form is:

57204 = 2² × 3² × 7¹ × 227¹

Step-2: Prime Factorization of 57224

Prime factors of 57224 are 2, 23, 311. Prime factorization of 57224 in exponential form is:

57224 = 2³ × 23¹ × 311¹

Step-3: Factors of 57204

List of positive integer factors of 57204 that divides 57204 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 227, 252, 454, 681, 908, 1362, 1589, 2043, 2724, 3178, 4086, 4767, 6356, 8172, 9534, 14301, 19068, 28602

Step-4: Factors of 57224

List of positive integer factors of 57224 that divides 57204 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 311, 622, 1244, 2488, 7153, 14306, 28612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57204 and 57224. The biggest common factor number is the GCF number.
So the greatest common factor 57204 and 57224 is 4.

Also check out the Least Common Multiple of 57204 and 57224