What is the Greatest Common Factor of 23723 and 23737?

Greatest common factor (GCF) of 23723 and 23737 is 7.

GCF(23723,23737) = 7

We will now calculate the prime factors of 23723 and 23737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23723 and 23737.

How to find the GCF of 23723 and 23737?

We will first find the prime factorization of 23723 and 23737. After we will calculate the factors of 23723 and 23737 and find the biggest common factor number .

Step-1: Prime Factorization of 23723

Prime factors of 23723 are 7, 3389. Prime factorization of 23723 in exponential form is:

23723 = 7¹ × 3389¹

Step-2: Prime Factorization of 23737

Prime factors of 23737 are 7, 3391. Prime factorization of 23737 in exponential form is:

23737 = 7¹ × 3391¹

Step-3: Factors of 23723

List of positive integer factors of 23723 that divides 23723 without a remainder.

1, 7, 3389

Step-4: Factors of 23737

List of positive integer factors of 23737 that divides 23723 without a remainder.

1, 7, 3391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23723 and 23737. The biggest common factor number is the GCF number.
So the greatest common factor 23723 and 23737 is 7.

Also check out the Least Common Multiple of 23723 and 23737