What is the Greatest Common Factor of 23275 and 23282?

Greatest common factor (GCF) of 23275 and 23282 is 7.

GCF(23275,23282) = 7

We will now calculate the prime factors of 23275 and 23282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23275 and 23282.

How to find the GCF of 23275 and 23282?

We will first find the prime factorization of 23275 and 23282. After we will calculate the factors of 23275 and 23282 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 23282

Prime factors of 23282 are 2, 7, 1663. Prime factorization of 23282 in exponential form is:

23282 = 2¹ × 7¹ × 1663¹

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 23282

List of positive integer factors of 23282 that divides 23275 without a remainder.

1, 2, 7, 14, 1663, 3326, 11641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23275 and 23282. The biggest common factor number is the GCF number.
So the greatest common factor 23275 and 23282 is 7.

Also check out the Least Common Multiple of 23275 and 23282