What is the Greatest Common Factor of 57504 and 57522?

Greatest common factor (GCF) of 57504 and 57522 is 6.

GCF(57504,57522) = 6

We will now calculate the prime factors of 57504 and 57522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57504 and 57522.

How to find the GCF of 57504 and 57522?

We will first find the prime factorization of 57504 and 57522. After we will calculate the factors of 57504 and 57522 and find the biggest common factor number .

Step-1: Prime Factorization of 57504

Prime factors of 57504 are 2, 3, 599. Prime factorization of 57504 in exponential form is:

57504 = 2⁵ × 3¹ × 599¹

Step-2: Prime Factorization of 57522

Prime factors of 57522 are 2, 3, 9587. Prime factorization of 57522 in exponential form is:

57522 = 2¹ × 3¹ × 9587¹

Step-3: Factors of 57504

List of positive integer factors of 57504 that divides 57504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 599, 1198, 1797, 2396, 3594, 4792, 7188, 9584, 14376, 19168, 28752

Step-4: Factors of 57522

List of positive integer factors of 57522 that divides 57504 without a remainder.

1, 2, 3, 6, 9587, 19174, 28761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57504 and 57522. The biggest common factor number is the GCF number.
So the greatest common factor 57504 and 57522 is 6.

Also check out the Least Common Multiple of 57504 and 57522