What is the Greatest Common Factor of 23268 and 23275?

Greatest common factor (GCF) of 23268 and 23275 is 7.

GCF(23268,23275) = 7

We will now calculate the prime factors of 23268 and 23275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23268 and 23275.

How to find the GCF of 23268 and 23275?

We will first find the prime factorization of 23268 and 23275. After we will calculate the factors of 23268 and 23275 and find the biggest common factor number .

Step-1: Prime Factorization of 23268

Prime factors of 23268 are 2, 3, 7, 277. Prime factorization of 23268 in exponential form is:

23268 = 2² × 3¹ × 7¹ × 277¹

Step-2: 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-3: Factors of 23268

List of positive integer factors of 23268 that divides 23268 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 277, 554, 831, 1108, 1662, 1939, 3324, 3878, 5817, 7756, 11634

Step-4: Factors of 23275

List of positive integer factors of 23275 that divides 23268 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23268 and 23275. The biggest common factor number is the GCF number.
So the greatest common factor 23268 and 23275 is 7.

Also check out the Least Common Multiple of 23268 and 23275