What is the Greatest Common Factor of 60663 and 60678?

Greatest common factor (GCF) of 60663 and 60678 is 3.

GCF(60663,60678) = 3

We will now calculate the prime factors of 60663 and 60678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60663 and 60678.

How to find the GCF of 60663 and 60678?

We will first find the prime factorization of 60663 and 60678. After we will calculate the factors of 60663 and 60678 and find the biggest common factor number .

Step-1: Prime Factorization of 60663

Prime factors of 60663 are 3, 73, 277. Prime factorization of 60663 in exponential form is:

60663 = 3¹ × 73¹ × 277¹

Step-2: Prime Factorization of 60678

Prime factors of 60678 are 2, 3, 3371. Prime factorization of 60678 in exponential form is:

60678 = 2¹ × 3² × 3371¹

Step-3: Factors of 60663

List of positive integer factors of 60663 that divides 60663 without a remainder.

1, 3, 73, 219, 277, 831, 20221

Step-4: Factors of 60678

List of positive integer factors of 60678 that divides 60663 without a remainder.

1, 2, 3, 6, 9, 18, 3371, 6742, 10113, 20226, 30339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60663 and 60678. The biggest common factor number is the GCF number.
So the greatest common factor 60663 and 60678 is 3.

Also check out the Least Common Multiple of 60663 and 60678