What is the Greatest Common Factor of 89008 and 89024?

Greatest common factor (GCF) of 89008 and 89024 is 16.

GCF(89008,89024) = 16

We will now calculate the prime factors of 89008 and 89024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89008 and 89024.

How to find the GCF of 89008 and 89024?

We will first find the prime factorization of 89008 and 89024. After we will calculate the factors of 89008 and 89024 and find the biggest common factor number .

Step-1: Prime Factorization of 89008

Prime factors of 89008 are 2, 5563. Prime factorization of 89008 in exponential form is:

89008 = 2⁴ × 5563¹

Step-2: Prime Factorization of 89024

Prime factors of 89024 are 2, 13, 107. Prime factorization of 89024 in exponential form is:

89024 = 2⁶ × 13¹ × 107¹

Step-3: Factors of 89008

List of positive integer factors of 89008 that divides 89008 without a remainder.

1, 2, 4, 8, 16, 5563, 11126, 22252, 44504

Step-4: Factors of 89024

List of positive integer factors of 89024 that divides 89008 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 107, 208, 214, 416, 428, 832, 856, 1391, 1712, 2782, 3424, 5564, 6848, 11128, 22256, 44512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89008 and 89024. The biggest common factor number is the GCF number.
So the greatest common factor 89008 and 89024 is 16.

Also check out the Least Common Multiple of 89008 and 89024