What is the Greatest Common Factor of 9040 and 9056?

Greatest common factor (GCF) of 9040 and 9056 is 16.

GCF(9040,9056) = 16

We will now calculate the prime factors of 9040 and 9056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9040 and 9056.

How to find the GCF of 9040 and 9056?

We will first find the prime factorization of 9040 and 9056. After we will calculate the factors of 9040 and 9056 and find the biggest common factor number .

Step-1: Prime Factorization of 9040

Prime factors of 9040 are 2, 5, 113. Prime factorization of 9040 in exponential form is:

9040 = 2⁴ × 5¹ × 113¹

Step-2: Prime Factorization of 9056

Prime factors of 9056 are 2, 283. Prime factorization of 9056 in exponential form is:

9056 = 2⁵ × 283¹

Step-3: Factors of 9040

List of positive integer factors of 9040 that divides 9040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520

Step-4: Factors of 9056

List of positive integer factors of 9056 that divides 9040 without a remainder.

1, 2, 4, 8, 16, 32, 283, 566, 1132, 2264, 4528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9040 and 9056. The biggest common factor number is the GCF number.
So the greatest common factor 9040 and 9056 is 16.

Also check out the Least Common Multiple of 9040 and 9056