What is the Greatest Common Factor of 57575 and 57590?

Greatest common factor (GCF) of 57575 and 57590 is 5.

GCF(57575,57590) = 5

We will now calculate the prime factors of 57575 and 57590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57575 and 57590.

How to find the GCF of 57575 and 57590?

We will first find the prime factorization of 57575 and 57590. After we will calculate the factors of 57575 and 57590 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 57590

Prime factors of 57590 are 2, 5, 13, 443. Prime factorization of 57590 in exponential form is:

57590 = 2¹ × 5¹ × 13¹ × 443¹

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 57590

List of positive integer factors of 57590 that divides 57575 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 443, 886, 2215, 4430, 5759, 11518, 28795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57575 and 57590. The biggest common factor number is the GCF number.
So the greatest common factor 57575 and 57590 is 5.

Also check out the Least Common Multiple of 57575 and 57590