What is the Greatest Common Factor of 89221 and 89232?

Greatest common factor (GCF) of 89221 and 89232 is 11.

GCF(89221,89232) = 11

We will now calculate the prime factors of 89221 and 89232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89221 and 89232.

How to find the GCF of 89221 and 89232?

We will first find the prime factorization of 89221 and 89232. After we will calculate the factors of 89221 and 89232 and find the biggest common factor number .

Step-1: Prime Factorization of 89221

Prime factors of 89221 are 11, 8111. Prime factorization of 89221 in exponential form is:

89221 = 11¹ × 8111¹

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 89221

List of positive integer factors of 89221 that divides 89221 without a remainder.

1, 11, 8111

Step-4: Factors of 89232

List of positive integer factors of 89232 that divides 89221 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 89221 and 89232. The biggest common factor number is the GCF number.
So the greatest common factor 89221 and 89232 is 11.

Also check out the Least Common Multiple of 89221 and 89232