What is the Greatest Common Factor of 96166 and 96173?

Greatest common factor (GCF) of 96166 and 96173 is 7.

GCF(96166,96173) = 7

We will now calculate the prime factors of 96166 and 96173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96166 and 96173.

How to find the GCF of 96166 and 96173?

We will first find the prime factorization of 96166 and 96173. After we will calculate the factors of 96166 and 96173 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96173

Prime factors of 96173 are 7, 11, 1249. Prime factorization of 96173 in exponential form is:

96173 = 7¹ × 11¹ × 1249¹

Step-3: Factors of 96166

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

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

Step-4: Factors of 96173

List of positive integer factors of 96173 that divides 96166 without a remainder.

1, 7, 11, 77, 1249, 8743, 13739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96166 and 96173. The biggest common factor number is the GCF number.
So the greatest common factor 96166 and 96173 is 7.

Also check out the Least Common Multiple of 96166 and 96173