What is the Greatest Common Factor of 23275 and 23294?

Greatest common factor (GCF) of 23275 and 23294 is 19.

GCF(23275,23294) = 19

We will now calculate the prime factors of 23275 and 23294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23275 and 23294.

How to find the GCF of 23275 and 23294?

We will first find the prime factorization of 23275 and 23294. After we will calculate the factors of 23275 and 23294 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 23294

Prime factors of 23294 are 2, 19, 613. Prime factorization of 23294 in exponential form is:

23294 = 2¹ × 19¹ × 613¹

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 23294

List of positive integer factors of 23294 that divides 23275 without a remainder.

1, 2, 19, 38, 613, 1226, 11647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23275 and 23294. The biggest common factor number is the GCF number.
So the greatest common factor 23275 and 23294 is 19.

Also check out the Least Common Multiple of 23275 and 23294