What is the Greatest Common Factor of 23646 and 23657?

Greatest common factor (GCF) of 23646 and 23657 is 1.

GCF(23646,23657) = 1

We will now calculate the prime factors of 23646 and 23657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23646 and 23657.

How to find the GCF of 23646 and 23657?

We will first find the prime factorization of 23646 and 23657. After we will calculate the factors of 23646 and 23657 and find the biggest common factor number .

Step-1: Prime Factorization of 23646

Prime factors of 23646 are 2, 3, 7, 563. Prime factorization of 23646 in exponential form is:

23646 = 2¹ × 3¹ × 7¹ × 563¹

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 23646

List of positive integer factors of 23646 that divides 23646 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 563, 1126, 1689, 3378, 3941, 7882, 11823

Step-4: Factors of 23657

List of positive integer factors of 23657 that divides 23646 without a remainder.

1, 41, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23646 and 23657. The biggest common factor number is the GCF number.
So the greatest common factor 23646 and 23657 is 1.

Also check out the Least Common Multiple of 23646 and 23657