What is the Greatest Common Factor of 57504 and 57509?

Greatest common factor (GCF) of 57504 and 57509 is 1.

GCF(57504,57509) = 1

We will now calculate the prime factors of 57504 and 57509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57504 and 57509.

How to find the GCF of 57504 and 57509?

We will first find the prime factorization of 57504 and 57509. After we will calculate the factors of 57504 and 57509 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 57509

Prime factors of 57509 are 131, 439. Prime factorization of 57509 in exponential form is:

57509 = 131¹ × 439¹

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 57509

List of positive integer factors of 57509 that divides 57504 without a remainder.

1, 131, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57504 and 57509. The biggest common factor number is the GCF number.
So the greatest common factor 57504 and 57509 is 1.

Also check out the Least Common Multiple of 57504 and 57509