What is the Greatest Common Factor of 60657 and 60663?

Greatest common factor (GCF) of 60657 and 60663 is 3.

GCF(60657,60663) = 3

We will now calculate the prime factors of 60657 and 60663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60657 and 60663.

How to find the GCF of 60657 and 60663?

We will first find the prime factorization of 60657 and 60663. After we will calculate the factors of 60657 and 60663 and find the biggest common factor number .

Step-1: Prime Factorization of 60657

Prime factors of 60657 are 3, 20219. Prime factorization of 60657 in exponential form is:

60657 = 3¹ × 20219¹

Step-2: 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-3: Factors of 60657

List of positive integer factors of 60657 that divides 60657 without a remainder.

1, 3, 20219

Step-4: Factors of 60663

List of positive integer factors of 60663 that divides 60657 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60657 and 60663. The biggest common factor number is the GCF number.
So the greatest common factor 60657 and 60663 is 3.

Also check out the Least Common Multiple of 60657 and 60663