What is the Greatest Common Factor of 89148 and 89166?

Greatest common factor (GCF) of 89148 and 89166 is 6.

GCF(89148,89166) = 6

We will now calculate the prime factors of 89148 and 89166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89148 and 89166.

How to find the GCF of 89148 and 89166?

We will first find the prime factorization of 89148 and 89166. After we will calculate the factors of 89148 and 89166 and find the biggest common factor number .

Step-1: Prime Factorization of 89148

Prime factors of 89148 are 2, 3, 17, 19, 23. Prime factorization of 89148 in exponential form is:

89148 = 2² × 3¹ × 17¹ × 19¹ × 23¹

Step-2: Prime Factorization of 89166

Prime factors of 89166 are 2, 3, 7, 11, 193. Prime factorization of 89166 in exponential form is:

89166 = 2¹ × 3¹ × 7¹ × 11¹ × 193¹

Step-3: Factors of 89148

List of positive integer factors of 89148 that divides 89148 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 23, 34, 38, 46, 51, 57, 68, 69, 76, 92, 102, 114, 138, 204, 228, 276, 323, 391, 437, 646, 782, 874, 969, 1173, 1292, 1311, 1564, 1748, 1938, 2346, 2622, 3876, 4692, 5244, 7429, 14858, 22287, 29716, 44574

Step-4: Factors of 89166

List of positive integer factors of 89166 that divides 89148 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 193, 231, 386, 462, 579, 1158, 1351, 2123, 2702, 4053, 4246, 6369, 8106, 12738, 14861, 29722, 44583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89148 and 89166. The biggest common factor number is the GCF number.
So the greatest common factor 89148 and 89166 is 6.

Also check out the Least Common Multiple of 89148 and 89166