What is the Greatest Common Factor of 89045 and 89056?

Greatest common factor (GCF) of 89045 and 89056 is 11.

GCF(89045,89056) = 11

We will now calculate the prime factors of 89045 and 89056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89045 and 89056.

How to find the GCF of 89045 and 89056?

We will first find the prime factorization of 89045 and 89056. After we will calculate the factors of 89045 and 89056 and find the biggest common factor number .

Step-1: Prime Factorization of 89045

Prime factors of 89045 are 5, 11, 1619. Prime factorization of 89045 in exponential form is:

89045 = 5¹ × 11¹ × 1619¹

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 89045

List of positive integer factors of 89045 that divides 89045 without a remainder.

1, 5, 11, 55, 1619, 8095, 17809

Step-4: Factors of 89056

List of positive integer factors of 89056 that divides 89045 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 89045 and 89056. The biggest common factor number is the GCF number.
So the greatest common factor 89045 and 89056 is 11.

Also check out the Least Common Multiple of 89045 and 89056