What is the Greatest Common Factor of 89056 and 89074?

Greatest common factor (GCF) of 89056 and 89074 is 2.

GCF(89056,89074) = 2

We will now calculate the prime factors of 89056 and 89074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89056 and 89074.

How to find the GCF of 89056 and 89074?

We will first find the prime factorization of 89056 and 89074. After we will calculate the factors of 89056 and 89074 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89074

Prime factors of 89074 are 2, 44537. Prime factorization of 89074 in exponential form is:

89074 = 2¹ × 44537¹

Step-3: Factors of 89056

List of positive integer factors of 89056 that divides 89056 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

Step-4: Factors of 89074

List of positive integer factors of 89074 that divides 89056 without a remainder.

1, 2, 44537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89056 and 89074. The biggest common factor number is the GCF number.
So the greatest common factor 89056 and 89074 is 2.

Also check out the Least Common Multiple of 89056 and 89074