What is the Greatest Common Factor of 57500 and 57509?

Greatest common factor (GCF) of 57500 and 57509 is 1.

GCF(57500,57509) = 1

We will now calculate the prime factors of 57500 and 57509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57500 and 57509.

How to find the GCF of 57500 and 57509?

We will first find the prime factorization of 57500 and 57509. After we will calculate the factors of 57500 and 57509 and find the biggest common factor number .

Step-1: Prime Factorization of 57500

Prime factors of 57500 are 2, 5, 23. Prime factorization of 57500 in exponential form is:

57500 = 2² × 5⁴ × 23¹

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 57500

List of positive integer factors of 57500 that divides 57500 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 125, 230, 250, 460, 500, 575, 625, 1150, 1250, 2300, 2500, 2875, 5750, 11500, 14375, 28750

Step-4: Factors of 57509

List of positive integer factors of 57509 that divides 57500 without a remainder.

1, 131, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57500 and 57509. The biggest common factor number is the GCF number.
So the greatest common factor 57500 and 57509 is 1.

Also check out the Least Common Multiple of 57500 and 57509