What is the Greatest Common Factor of 9280 and 9290?

Greatest common factor (GCF) of 9280 and 9290 is 10.

GCF(9280,9290) = 10

We will now calculate the prime factors of 9280 and 9290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9280 and 9290.

How to find the GCF of 9280 and 9290?

We will first find the prime factorization of 9280 and 9290. After we will calculate the factors of 9280 and 9290 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 9290

Prime factors of 9290 are 2, 5, 929. Prime factorization of 9290 in exponential form is:

9290 = 2¹ × 5¹ × 929¹

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 9290

List of positive integer factors of 9290 that divides 9280 without a remainder.

1, 2, 5, 10, 929, 1858, 4645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9280 and 9290. The biggest common factor number is the GCF number.
So the greatest common factor 9280 and 9290 is 10.

Also check out the Least Common Multiple of 9280 and 9290