What is the Greatest Common Factor of 23275 and 23291?

Greatest common factor (GCF) of 23275 and 23291 is 1.

GCF(23275,23291) = 1

We will now calculate the prime factors of 23275 and 23291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23275 and 23291.

How to find the GCF of 23275 and 23291?

We will first find the prime factorization of 23275 and 23291. After we will calculate the factors of 23275 and 23291 and find the biggest common factor number .

Step-1: Prime Factorization of 23275

Prime factors of 23275 are 5, 7, 19. Prime factorization of 23275 in exponential form is:

23275 = 5² × 7² × 19¹

Step-2: Prime Factorization of 23291

Prime factors of 23291 are 23291. Prime factorization of 23291 in exponential form is:

23291 = 23291¹

Step-3: Factors of 23275

List of positive integer factors of 23275 that divides 23275 without a remainder.

1, 5, 7, 19, 25, 35, 49, 95, 133, 175, 245, 475, 665, 931, 1225, 3325, 4655

Step-4: Factors of 23291

List of positive integer factors of 23291 that divides 23275 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23275 and 23291. The biggest common factor number is the GCF number.
So the greatest common factor 23275 and 23291 is 1.

Also check out the Least Common Multiple of 23275 and 23291