What is the Greatest Common Factor of 89152 and 89166?

Greatest common factor (GCF) of 89152 and 89166 is 14.

GCF(89152,89166) = 14

We will now calculate the prime factors of 89152 and 89166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89152 and 89166.

How to find the GCF of 89152 and 89166?

We will first find the prime factorization of 89152 and 89166. After we will calculate the factors of 89152 and 89166 and find the biggest common factor number .

Step-1: Prime Factorization of 89152

Prime factors of 89152 are 2, 7, 199. Prime factorization of 89152 in exponential form is:

89152 = 2⁶ × 7¹ × 199¹

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 89152

List of positive integer factors of 89152 that divides 89152 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 199, 224, 398, 448, 796, 1393, 1592, 2786, 3184, 5572, 6368, 11144, 12736, 22288, 44576

Step-4: Factors of 89166

List of positive integer factors of 89166 that divides 89152 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 89152 and 89166. The biggest common factor number is the GCF number.
So the greatest common factor 89152 and 89166 is 14.

Also check out the Least Common Multiple of 89152 and 89166