What is the Greatest Common Factor of 9275 and 9280?

Greatest common factor (GCF) of 9275 and 9280 is 5.

GCF(9275,9280) = 5

We will now calculate the prime factors of 9275 and 9280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9275 and 9280.

How to find the GCF of 9275 and 9280?

We will first find the prime factorization of 9275 and 9280. After we will calculate the factors of 9275 and 9280 and find the biggest common factor number .

Step-1: Prime Factorization of 9275

Prime factors of 9275 are 5, 7, 53. Prime factorization of 9275 in exponential form is:

9275 = 5² × 7¹ × 53¹

Step-2: Prime Factorization of 9280

Prime factors of 9280 are 2, 5, 29. Prime factorization of 9280 in exponential form is:

9280 = 2⁶ × 5¹ × 29¹

Step-3: Factors of 9275

List of positive integer factors of 9275 that divides 9275 without a remainder.

1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855

Step-4: Factors of 9280

List of positive integer factors of 9280 that divides 9275 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 145, 160, 232, 290, 320, 464, 580, 928, 1160, 1856, 2320, 4640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9275 and 9280. The biggest common factor number is the GCF number.
So the greatest common factor 9275 and 9280 is 5.

Also check out the Least Common Multiple of 9275 and 9280