What is the Greatest Common Factor of 9280 and 9284?

Greatest common factor (GCF) of 9280 and 9284 is 4.

GCF(9280,9284) = 4

We will now calculate the prime factors of 9280 and 9284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9280 and 9284.

How to find the GCF of 9280 and 9284?

We will first find the prime factorization of 9280 and 9284. After we will calculate the factors of 9280 and 9284 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9284

Prime factors of 9284 are 2, 11, 211. Prime factorization of 9284 in exponential form is:

9284 = 2² × 11¹ × 211¹

Step-3: Factors of 9280

List of positive integer factors of 9280 that divides 9280 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

Step-4: Factors of 9284

List of positive integer factors of 9284 that divides 9280 without a remainder.

1, 2, 4, 11, 22, 44, 211, 422, 844, 2321, 4642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9280 and 9284. The biggest common factor number is the GCF number.
So the greatest common factor 9280 and 9284 is 4.

Also check out the Least Common Multiple of 9280 and 9284