What is the Greatest Common Factor of 60936 and 60945?

Greatest common factor (GCF) of 60936 and 60945 is 3.

GCF(60936,60945) = 3

We will now calculate the prime factors of 60936 and 60945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60936 and 60945.

How to find the GCF of 60936 and 60945?

We will first find the prime factorization of 60936 and 60945. After we will calculate the factors of 60936 and 60945 and find the biggest common factor number .

Step-1: Prime Factorization of 60936

Prime factors of 60936 are 2, 3, 2539. Prime factorization of 60936 in exponential form is:

60936 = 2³ × 3¹ × 2539¹

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 60936

List of positive integer factors of 60936 that divides 60936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2539, 5078, 7617, 10156, 15234, 20312, 30468

Step-4: Factors of 60945

List of positive integer factors of 60945 that divides 60936 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 60936 and 60945. The biggest common factor number is the GCF number.
So the greatest common factor 60936 and 60945 is 3.

Also check out the Least Common Multiple of 60936 and 60945