What is the Greatest Common Factor of 57504 and 57508?

Greatest common factor (GCF) of 57504 and 57508 is 4.

GCF(57504,57508) = 4

We will now calculate the prime factors of 57504 and 57508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57504 and 57508.

How to find the GCF of 57504 and 57508?

We will first find the prime factorization of 57504 and 57508. After we will calculate the factors of 57504 and 57508 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 57508

Prime factors of 57508 are 2, 11, 1307. Prime factorization of 57508 in exponential form is:

57508 = 2² × 11¹ × 1307¹

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 57508

List of positive integer factors of 57508 that divides 57504 without a remainder.

1, 2, 4, 11, 22, 44, 1307, 2614, 5228, 14377, 28754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57504 and 57508. The biggest common factor number is the GCF number.
So the greatest common factor 57504 and 57508 is 4.

Also check out the Least Common Multiple of 57504 and 57508