What is the Greatest Common Factor of 23157 and 23165?

Greatest common factor (GCF) of 23157 and 23165 is 1.

GCF(23157,23165) = 1

We will now calculate the prime factors of 23157 and 23165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23157 and 23165.

How to find the GCF of 23157 and 23165?

We will first find the prime factorization of 23157 and 23165. After we will calculate the factors of 23157 and 23165 and find the biggest common factor number .

Step-1: Prime Factorization of 23157

Prime factors of 23157 are 3, 31, 83. Prime factorization of 23157 in exponential form is:

23157 = 3² × 31¹ × 83¹

Step-2: Prime Factorization of 23165

Prime factors of 23165 are 5, 41, 113. Prime factorization of 23165 in exponential form is:

23165 = 5¹ × 41¹ × 113¹

Step-3: Factors of 23157

List of positive integer factors of 23157 that divides 23157 without a remainder.

1, 3, 9, 31, 83, 93, 249, 279, 747, 2573, 7719

Step-4: Factors of 23165

List of positive integer factors of 23165 that divides 23157 without a remainder.

1, 5, 41, 113, 205, 565, 4633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23157 and 23165. The biggest common factor number is the GCF number.
So the greatest common factor 23157 and 23165 is 1.

Also check out the Least Common Multiple of 23157 and 23165