What is the Greatest Common Factor of 60930 and 60945?

Greatest common factor (GCF) of 60930 and 60945 is 15.

GCF(60930,60945) = 15

We will now calculate the prime factors of 60930 and 60945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60930 and 60945.

How to find the GCF of 60930 and 60945?

We will first find the prime factorization of 60930 and 60945. After we will calculate the factors of 60930 and 60945 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60945

Prime factors of 60945 are 3, 5, 17, 239. Prime factorization of 60945 in exponential form is:

60945 = 3¹ × 5¹ × 17¹ × 239¹

Step-3: Factors of 60930

List of positive integer factors of 60930 that divides 60930 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

Step-4: Factors of 60945

List of positive integer factors of 60945 that divides 60930 without a remainder.

1, 3, 5, 15, 17, 51, 85, 239, 255, 717, 1195, 3585, 4063, 12189, 20315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60930 and 60945. The biggest common factor number is the GCF number.
So the greatest common factor 60930 and 60945 is 15.

Also check out the Least Common Multiple of 60930 and 60945