What is the Greatest Common Factor of 96152 and 96166?

Greatest common factor (GCF) of 96152 and 96166 is 14.

GCF(96152,96166) = 14

We will now calculate the prime factors of 96152 and 96166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96152 and 96166.

How to find the GCF of 96152 and 96166?

We will first find the prime factorization of 96152 and 96166. After we will calculate the factors of 96152 and 96166 and find the biggest common factor number .

Step-1: Prime Factorization of 96152

Prime factors of 96152 are 2, 7, 17, 101. Prime factorization of 96152 in exponential form is:

96152 = 2³ × 7¹ × 17¹ × 101¹

Step-2: Prime Factorization of 96166

Prime factors of 96166 are 2, 7, 6869. Prime factorization of 96166 in exponential form is:

96166 = 2¹ × 7¹ × 6869¹

Step-3: Factors of 96152

List of positive integer factors of 96152 that divides 96152 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 101, 119, 136, 202, 238, 404, 476, 707, 808, 952, 1414, 1717, 2828, 3434, 5656, 6868, 12019, 13736, 24038, 48076

Step-4: Factors of 96166

List of positive integer factors of 96166 that divides 96152 without a remainder.

1, 2, 7, 14, 6869, 13738, 48083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96152 and 96166. The biggest common factor number is the GCF number.
So the greatest common factor 96152 and 96166 is 14.

Also check out the Least Common Multiple of 96152 and 96166