What is the Greatest Common Factor of 9280 and 9293?

Greatest common factor (GCF) of 9280 and 9293 is 1.

GCF(9280,9293) = 1

We will now calculate the prime factors of 9280 and 9293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9280 and 9293.

How to find the GCF of 9280 and 9293?

We will first find the prime factorization of 9280 and 9293. After we will calculate the factors of 9280 and 9293 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 9293

Prime factors of 9293 are 9293. Prime factorization of 9293 in exponential form is:

9293 = 9293¹

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 9293

List of positive integer factors of 9293 that divides 9280 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9280 and 9293. The biggest common factor number is the GCF number.
So the greatest common factor 9280 and 9293 is 1.

Also check out the Least Common Multiple of 9280 and 9293