What is the Greatest Common Factor of 89216 and 89232?

Greatest common factor (GCF) of 89216 and 89232 is 16.

GCF(89216,89232) = 16

We will now calculate the prime factors of 89216 and 89232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89216 and 89232.

How to find the GCF of 89216 and 89232?

We will first find the prime factorization of 89216 and 89232. After we will calculate the factors of 89216 and 89232 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 89232

Prime factors of 89232 are 2, 3, 11, 13. Prime factorization of 89232 in exponential form is:

89232 = 2⁴ × 3¹ × 11¹ × 13²

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 89232

List of positive integer factors of 89232 that divides 89216 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 169, 176, 208, 264, 286, 312, 338, 429, 507, 528, 572, 624, 676, 858, 1014, 1144, 1352, 1716, 1859, 2028, 2288, 2704, 3432, 3718, 4056, 5577, 6864, 7436, 8112, 11154, 14872, 22308, 29744, 44616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89216 and 89232. The biggest common factor number is the GCF number.
So the greatest common factor 89216 and 89232 is 16.

Also check out the Least Common Multiple of 89216 and 89232