What is the Greatest Common Factor of 60639 and 60657?

Greatest common factor (GCF) of 60639 and 60657 is 3.

GCF(60639,60657) = 3

We will now calculate the prime factors of 60639 and 60657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60639 and 60657.

How to find the GCF of 60639 and 60657?

We will first find the prime factorization of 60639 and 60657. After we will calculate the factors of 60639 and 60657 and find the biggest common factor number .

Step-1: Prime Factorization of 60639

Prime factors of 60639 are 3, 17, 29, 41. Prime factorization of 60639 in exponential form is:

60639 = 3¹ × 17¹ × 29¹ × 41¹

Step-2: Prime Factorization of 60657

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

60657 = 3¹ × 20219¹

Step-3: Factors of 60639

List of positive integer factors of 60639 that divides 60639 without a remainder.

1, 3, 17, 29, 41, 51, 87, 123, 493, 697, 1189, 1479, 2091, 3567, 20213

Step-4: Factors of 60657

List of positive integer factors of 60657 that divides 60639 without a remainder.

1, 3, 20219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60639 and 60657. The biggest common factor number is the GCF number.
So the greatest common factor 60639 and 60657 is 3.

Also check out the Least Common Multiple of 60639 and 60657