What is the Greatest Common Factor of 23065 and 23079?

Greatest common factor (GCF) of 23065 and 23079 is 7.

GCF(23065,23079) = 7

We will now calculate the prime factors of 23065 and 23079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23065 and 23079.

How to find the GCF of 23065 and 23079?

We will first find the prime factorization of 23065 and 23079. After we will calculate the factors of 23065 and 23079 and find the biggest common factor number .

Step-1: Prime Factorization of 23065

Prime factors of 23065 are 5, 7, 659. Prime factorization of 23065 in exponential form is:

23065 = 5¹ × 7¹ × 659¹

Step-2: Prime Factorization of 23079

Prime factors of 23079 are 3, 7, 157. Prime factorization of 23079 in exponential form is:

23079 = 3¹ × 7² × 157¹

Step-3: Factors of 23065

List of positive integer factors of 23065 that divides 23065 without a remainder.

1, 5, 7, 35, 659, 3295, 4613

Step-4: Factors of 23079

List of positive integer factors of 23079 that divides 23065 without a remainder.

1, 3, 7, 21, 49, 147, 157, 471, 1099, 3297, 7693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23065 and 23079. The biggest common factor number is the GCF number.
So the greatest common factor 23065 and 23079 is 7.

Also check out the Least Common Multiple of 23065 and 23079