What is the Greatest Common Factor of 60580 and 60598?

Greatest common factor (GCF) of 60580 and 60598 is 2.

GCF(60580,60598) = 2

We will now calculate the prime factors of 60580 and 60598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60580 and 60598.

How to find the GCF of 60580 and 60598?

We will first find the prime factorization of 60580 and 60598. After we will calculate the factors of 60580 and 60598 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 60598

Prime factors of 60598 are 2, 41, 739. Prime factorization of 60598 in exponential form is:

60598 = 2¹ × 41¹ × 739¹

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 60598

List of positive integer factors of 60598 that divides 60580 without a remainder.

1, 2, 41, 82, 739, 1478, 30299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60580 and 60598. The biggest common factor number is the GCF number.
So the greatest common factor 60580 and 60598 is 2.

Also check out the Least Common Multiple of 60580 and 60598