What is the Greatest Common Factor of 57575 and 57580?

Greatest common factor (GCF) of 57575 and 57580 is 5.

GCF(57575,57580) = 5

We will now calculate the prime factors of 57575 and 57580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57575 and 57580.

How to find the GCF of 57575 and 57580?

We will first find the prime factorization of 57575 and 57580. After we will calculate the factors of 57575 and 57580 and find the biggest common factor number .

Step-1: Prime Factorization of 57575

Prime factors of 57575 are 5, 7, 47. Prime factorization of 57575 in exponential form is:

57575 = 5² × 7² × 47¹

Step-2: Prime Factorization of 57580

Prime factors of 57580 are 2, 5, 2879. Prime factorization of 57580 in exponential form is:

57580 = 2² × 5¹ × 2879¹

Step-3: Factors of 57575

List of positive integer factors of 57575 that divides 57575 without a remainder.

1, 5, 7, 25, 35, 47, 49, 175, 235, 245, 329, 1175, 1225, 1645, 2303, 8225, 11515

Step-4: Factors of 57580

List of positive integer factors of 57580 that divides 57575 without a remainder.

1, 2, 4, 5, 10, 20, 2879, 5758, 11516, 14395, 28790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57575 and 57580. The biggest common factor number is the GCF number.
So the greatest common factor 57575 and 57580 is 5.

Also check out the Least Common Multiple of 57575 and 57580