What is the Greatest Common Factor of 60948 and 60966?

Greatest common factor (GCF) of 60948 and 60966 is 18.

GCF(60948,60966) = 18

We will now calculate the prime factors of 60948 and 60966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60948 and 60966.

How to find the GCF of 60948 and 60966?

We will first find the prime factorization of 60948 and 60966. After we will calculate the factors of 60948 and 60966 and find the biggest common factor number .

Step-1: Prime Factorization of 60948

Prime factors of 60948 are 2, 3, 1693. Prime factorization of 60948 in exponential form is:

60948 = 2² × 3² × 1693¹

Step-2: Prime Factorization of 60966

Prime factors of 60966 are 2, 3, 1129. Prime factorization of 60966 in exponential form is:

60966 = 2¹ × 3³ × 1129¹

Step-3: Factors of 60948

List of positive integer factors of 60948 that divides 60948 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1693, 3386, 5079, 6772, 10158, 15237, 20316, 30474

Step-4: Factors of 60966

List of positive integer factors of 60966 that divides 60948 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1129, 2258, 3387, 6774, 10161, 20322, 30483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60948 and 60966. The biggest common factor number is the GCF number.
So the greatest common factor 60948 and 60966 is 18.

Also check out the Least Common Multiple of 60948 and 60966