What is the Greatest Common Factor of 89038 and 89056?

Greatest common factor (GCF) of 89038 and 89056 is 2.

GCF(89038,89056) = 2

We will now calculate the prime factors of 89038 and 89056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89038 and 89056.

How to find the GCF of 89038 and 89056?

We will first find the prime factorization of 89038 and 89056. After we will calculate the factors of 89038 and 89056 and find the biggest common factor number .

Step-1: Prime Factorization of 89038

Prime factors of 89038 are 2, 44519. Prime factorization of 89038 in exponential form is:

89038 = 2¹ × 44519¹

Step-2: Prime Factorization of 89056

Prime factors of 89056 are 2, 11, 23. Prime factorization of 89056 in exponential form is:

89056 = 2⁵ × 11² × 23¹

Step-3: Factors of 89038

List of positive integer factors of 89038 that divides 89038 without a remainder.

1, 2, 44519

Step-4: Factors of 89056

List of positive integer factors of 89056 that divides 89038 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 32, 44, 46, 88, 92, 121, 176, 184, 242, 253, 352, 368, 484, 506, 736, 968, 1012, 1936, 2024, 2783, 3872, 4048, 5566, 8096, 11132, 22264, 44528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89038 and 89056. The biggest common factor number is the GCF number.
So the greatest common factor 89038 and 89056 is 2.

Also check out the Least Common Multiple of 89038 and 89056