What is the Greatest Common Factor of 89216 and 89233?

Greatest common factor (GCF) of 89216 and 89233 is 17.

GCF(89216,89233) = 17

We will now calculate the prime factors of 89216 and 89233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89216 and 89233.

How to find the GCF of 89216 and 89233?

We will first find the prime factorization of 89216 and 89233. After we will calculate the factors of 89216 and 89233 and find the biggest common factor number .

Step-1: Prime Factorization of 89216

Prime factors of 89216 are 2, 17, 41. Prime factorization of 89216 in exponential form is:

89216 = 2⁷ × 17¹ × 41¹

Step-2: Prime Factorization of 89233

Prime factors of 89233 are 17, 29, 181. Prime factorization of 89233 in exponential form is:

89233 = 17¹ × 29¹ × 181¹

Step-3: Factors of 89216

List of positive integer factors of 89216 that divides 89216 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 41, 64, 68, 82, 128, 136, 164, 272, 328, 544, 656, 697, 1088, 1312, 1394, 2176, 2624, 2788, 5248, 5576, 11152, 22304, 44608

Step-4: Factors of 89233

List of positive integer factors of 89233 that divides 89216 without a remainder.

1, 17, 29, 181, 493, 3077, 5249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89216 and 89233. The biggest common factor number is the GCF number.
So the greatest common factor 89216 and 89233 is 17.

Also check out the Least Common Multiple of 89216 and 89233