What is the Greatest Common Factor of 23657 and 23673?

Greatest common factor (GCF) of 23657 and 23673 is 1.

GCF(23657,23673) = 1

We will now calculate the prime factors of 23657 and 23673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23657 and 23673.

How to find the GCF of 23657 and 23673?

We will first find the prime factorization of 23657 and 23673. After we will calculate the factors of 23657 and 23673 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 23673

Prime factors of 23673 are 3, 13, 607. Prime factorization of 23673 in exponential form is:

23673 = 3¹ × 13¹ × 607¹

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 23673

List of positive integer factors of 23673 that divides 23657 without a remainder.

1, 3, 13, 39, 607, 1821, 7891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23657 and 23673. The biggest common factor number is the GCF number.
So the greatest common factor 23657 and 23673 is 1.

Also check out the Least Common Multiple of 23657 and 23673