What is the Greatest Common Factor of 57590 and 57605?

Greatest common factor (GCF) of 57590 and 57605 is 5.

GCF(57590,57605) = 5

We will now calculate the prime factors of 57590 and 57605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57590 and 57605.

How to find the GCF of 57590 and 57605?

We will first find the prime factorization of 57590 and 57605. After we will calculate the factors of 57590 and 57605 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57605

Prime factors of 57605 are 5, 41, 281. Prime factorization of 57605 in exponential form is:

57605 = 5¹ × 41¹ × 281¹

Step-3: Factors of 57590

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

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

Step-4: Factors of 57605

List of positive integer factors of 57605 that divides 57590 without a remainder.

1, 5, 41, 205, 281, 1405, 11521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57590 and 57605. The biggest common factor number is the GCF number.
So the greatest common factor 57590 and 57605 is 5.

Also check out the Least Common Multiple of 57590 and 57605