What is the Greatest Common Factor of 23657 and 23677?

Greatest common factor (GCF) of 23657 and 23677 is 1.

GCF(23657,23677) = 1

We will now calculate the prime factors of 23657 and 23677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23657 and 23677.

How to find the GCF of 23657 and 23677?

We will first find the prime factorization of 23657 and 23677. After we will calculate the factors of 23657 and 23677 and find the biggest common factor number .

Step-1: Prime Factorization of 23657

Prime factors of 23657 are 41, 577. Prime factorization of 23657 in exponential form is:

23657 = 41¹ × 577¹

Step-2: Prime Factorization of 23677

Prime factors of 23677 are 23677. Prime factorization of 23677 in exponential form is:

23677 = 23677¹

Step-3: Factors of 23657

List of positive integer factors of 23657 that divides 23657 without a remainder.

1, 41, 577

Step-4: Factors of 23677

List of positive integer factors of 23677 that divides 23657 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23657 and 23677. The biggest common factor number is the GCF number.
So the greatest common factor 23657 and 23677 is 1.

Also check out the Least Common Multiple of 23657 and 23677