What is the Greatest Common Factor of 60580 and 60595?

Greatest common factor (GCF) of 60580 and 60595 is 5.

GCF(60580,60595) = 5

We will now calculate the prime factors of 60580 and 60595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60580 and 60595.

How to find the GCF of 60580 and 60595?

We will first find the prime factorization of 60580 and 60595. After we will calculate the factors of 60580 and 60595 and find the biggest common factor number .

Step-1: Prime Factorization of 60580

Prime factors of 60580 are 2, 5, 13, 233. Prime factorization of 60580 in exponential form is:

60580 = 2² × 5¹ × 13¹ × 233¹

Step-2: Prime Factorization of 60595

Prime factors of 60595 are 5, 12119. Prime factorization of 60595 in exponential form is:

60595 = 5¹ × 12119¹

Step-3: Factors of 60580

List of positive integer factors of 60580 that divides 60580 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 233, 260, 466, 932, 1165, 2330, 3029, 4660, 6058, 12116, 15145, 30290

Step-4: Factors of 60595

List of positive integer factors of 60595 that divides 60580 without a remainder.

1, 5, 12119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60580 and 60595. The biggest common factor number is the GCF number.
So the greatest common factor 60580 and 60595 is 5.

Also check out the Least Common Multiple of 60580 and 60595