What is the Greatest Common Factor of 23642 and 23657?

Greatest common factor (GCF) of 23642 and 23657 is 1.

GCF(23642,23657) = 1

We will now calculate the prime factors of 23642 and 23657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23642 and 23657.

How to find the GCF of 23642 and 23657?

We will first find the prime factorization of 23642 and 23657. After we will calculate the factors of 23642 and 23657 and find the biggest common factor number .

Step-1: Prime Factorization of 23642

Prime factors of 23642 are 2, 11821. Prime factorization of 23642 in exponential form is:

23642 = 2¹ × 11821¹

Step-2: Prime Factorization of 23657

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

23657 = 41¹ × 577¹

Step-3: Factors of 23642

List of positive integer factors of 23642 that divides 23642 without a remainder.

1, 2, 11821

Step-4: Factors of 23657

List of positive integer factors of 23657 that divides 23642 without a remainder.

1, 41, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23642 and 23657. The biggest common factor number is the GCF number.
So the greatest common factor 23642 and 23657 is 1.

Also check out the Least Common Multiple of 23642 and 23657