What is the Greatest Common Factor of 60574 and 60580?

Greatest common factor (GCF) of 60574 and 60580 is 2.

GCF(60574,60580) = 2

We will now calculate the prime factors of 60574 and 60580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60574 and 60580.

How to find the GCF of 60574 and 60580?

We will first find the prime factorization of 60574 and 60580. After we will calculate the factors of 60574 and 60580 and find the biggest common factor number .

Step-1: Prime Factorization of 60574

Prime factors of 60574 are 2, 31, 977. Prime factorization of 60574 in exponential form is:

60574 = 2¹ × 31¹ × 977¹

Step-2: 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-3: Factors of 60574

List of positive integer factors of 60574 that divides 60574 without a remainder.

1, 2, 31, 62, 977, 1954, 30287

Step-4: Factors of 60580

List of positive integer factors of 60580 that divides 60574 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60574 and 60580. The biggest common factor number is the GCF number.
So the greatest common factor 60574 and 60580 is 2.

Also check out the Least Common Multiple of 60574 and 60580