What is the Greatest Common Factor of 89056 and 89072?

Greatest common factor (GCF) of 89056 and 89072 is 16.

GCF(89056,89072) = 16

We will now calculate the prime factors of 89056 and 89072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89056 and 89072.

How to find the GCF of 89056 and 89072?

We will first find the prime factorization of 89056 and 89072. After we will calculate the factors of 89056 and 89072 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 89072

Prime factors of 89072 are 2, 19, 293. Prime factorization of 89072 in exponential form is:

89072 = 2⁴ × 19¹ × 293¹

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 89072

List of positive integer factors of 89072 that divides 89056 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 293, 304, 586, 1172, 2344, 4688, 5567, 11134, 22268, 44536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89056 and 89072. The biggest common factor number is the GCF number.
So the greatest common factor 89056 and 89072 is 16.

Also check out the Least Common Multiple of 89056 and 89072