What is the Greatest Common Factor of 89224 and 89232?

Greatest common factor (GCF) of 89224 and 89232 is 8.

GCF(89224,89232) = 8

We will now calculate the prime factors of 89224 and 89232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89224 and 89232.

How to find the GCF of 89224 and 89232?

We will first find the prime factorization of 89224 and 89232. After we will calculate the factors of 89224 and 89232 and find the biggest common factor number .

Step-1: Prime Factorization of 89224

Prime factors of 89224 are 2, 19, 587. Prime factorization of 89224 in exponential form is:

89224 = 2³ × 19¹ × 587¹

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 89224

List of positive integer factors of 89224 that divides 89224 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 587, 1174, 2348, 4696, 11153, 22306, 44612

Step-4: Factors of 89232

List of positive integer factors of 89232 that divides 89224 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 89224 and 89232. The biggest common factor number is the GCF number.
So the greatest common factor 89224 and 89232 is 8.

Also check out the Least Common Multiple of 89224 and 89232