What is the Greatest Common Factor of 23275 and 23290?

Greatest common factor (GCF) of 23275 and 23290 is 5.

GCF(23275,23290) = 5

We will now calculate the prime factors of 23275 and 23290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23275 and 23290.

How to find the GCF of 23275 and 23290?

We will first find the prime factorization of 23275 and 23290. After we will calculate the factors of 23275 and 23290 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 23290

Prime factors of 23290 are 2, 5, 17, 137. Prime factorization of 23290 in exponential form is:

23290 = 2¹ × 5¹ × 17¹ × 137¹

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 23290

List of positive integer factors of 23290 that divides 23275 without a remainder.

1, 2, 5, 10, 17, 34, 85, 137, 170, 274, 685, 1370, 2329, 4658, 11645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23275 and 23290. The biggest common factor number is the GCF number.
So the greatest common factor 23275 and 23290 is 5.

Also check out the Least Common Multiple of 23275 and 23290