What is the Greatest Common Factor of 60915 and 60930?

Greatest common factor (GCF) of 60915 and 60930 is 15.

GCF(60915,60930) = 15

We will now calculate the prime factors of 60915 and 60930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60915 and 60930.

How to find the GCF of 60915 and 60930?

We will first find the prime factorization of 60915 and 60930. After we will calculate the factors of 60915 and 60930 and find the biggest common factor number .

Step-1: Prime Factorization of 60915

Prime factors of 60915 are 3, 5, 31, 131. Prime factorization of 60915 in exponential form is:

60915 = 3¹ × 5¹ × 31¹ × 131¹

Step-2: Prime Factorization of 60930

Prime factors of 60930 are 2, 3, 5, 677. Prime factorization of 60930 in exponential form is:

60930 = 2¹ × 3² × 5¹ × 677¹

Step-3: Factors of 60915

List of positive integer factors of 60915 that divides 60915 without a remainder.

1, 3, 5, 15, 31, 93, 131, 155, 393, 465, 655, 1965, 4061, 12183, 20305

Step-4: Factors of 60930

List of positive integer factors of 60930 that divides 60915 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 677, 1354, 2031, 3385, 4062, 6093, 6770, 10155, 12186, 20310, 30465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60915 and 60930. The biggest common factor number is the GCF number.
So the greatest common factor 60915 and 60930 is 15.

Also check out the Least Common Multiple of 60915 and 60930