What is the Greatest Common Factor of 60657 and 60677?

Greatest common factor (GCF) of 60657 and 60677 is 1.

GCF(60657,60677) = 1

We will now calculate the prime factors of 60657 and 60677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60657 and 60677.

How to find the GCF of 60657 and 60677?

We will first find the prime factorization of 60657 and 60677. After we will calculate the factors of 60657 and 60677 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 60677

Prime factors of 60677 are 47, 1291. Prime factorization of 60677 in exponential form is:

60677 = 47¹ × 1291¹

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 60677

List of positive integer factors of 60677 that divides 60657 without a remainder.

1, 47, 1291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60657 and 60677. The biggest common factor number is the GCF number.
So the greatest common factor 60657 and 60677 is 1.

Also check out the Least Common Multiple of 60657 and 60677