What is the Greatest Common Factor of 9038 and 9056?

Greatest common factor (GCF) of 9038 and 9056 is 2.

GCF(9038,9056) = 2

We will now calculate the prime factors of 9038 and 9056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9038 and 9056.

How to find the GCF of 9038 and 9056?

We will first find the prime factorization of 9038 and 9056. After we will calculate the factors of 9038 and 9056 and find the biggest common factor number .

Step-1: Prime Factorization of 9038

Prime factors of 9038 are 2, 4519. Prime factorization of 9038 in exponential form is:

9038 = 2¹ × 4519¹

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 9038

List of positive integer factors of 9038 that divides 9038 without a remainder.

1, 2, 4519

Step-4: Factors of 9056

List of positive integer factors of 9056 that divides 9038 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 9038 and 9056. The biggest common factor number is the GCF number.
So the greatest common factor 9038 and 9056 is 2.

Also check out the Least Common Multiple of 9038 and 9056