What is the Greatest Common Factor of 23679 and 23689?

Greatest common factor (GCF) of 23679 and 23689 is 1.

GCF(23679,23689) = 1

We will now calculate the prime factors of 23679 and 23689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23679 and 23689.

How to find the GCF of 23679 and 23689?

We will first find the prime factorization of 23679 and 23689. After we will calculate the factors of 23679 and 23689 and find the biggest common factor number .

Step-1: Prime Factorization of 23679

Prime factors of 23679 are 3, 877. Prime factorization of 23679 in exponential form is:

23679 = 3³ × 877¹

Step-2: Prime Factorization of 23689

Prime factors of 23689 are 23689. Prime factorization of 23689 in exponential form is:

23689 = 23689¹

Step-3: Factors of 23679

List of positive integer factors of 23679 that divides 23679 without a remainder.

1, 3, 9, 27, 877, 2631, 7893

Step-4: Factors of 23689

List of positive integer factors of 23689 that divides 23679 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23679 and 23689. The biggest common factor number is the GCF number.
So the greatest common factor 23679 and 23689 is 1.

Also check out the Least Common Multiple of 23679 and 23689