What is the Greatest Common Factor of 96159 and 96176?

Greatest common factor (GCF) of 96159 and 96176 is 1.

GCF(96159,96176) = 1

We will now calculate the prime factors of 96159 and 96176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96159 and 96176.

How to find the GCF of 96159 and 96176?

We will first find the prime factorization of 96159 and 96176. After we will calculate the factors of 96159 and 96176 and find the biggest common factor number .

Step-1: Prime Factorization of 96159

Prime factors of 96159 are 3, 7, 19, 241. Prime factorization of 96159 in exponential form is:

96159 = 3¹ × 7¹ × 19¹ × 241¹

Step-2: Prime Factorization of 96176

Prime factors of 96176 are 2, 6011. Prime factorization of 96176 in exponential form is:

96176 = 2⁴ × 6011¹

Step-3: Factors of 96159

List of positive integer factors of 96159 that divides 96159 without a remainder.

1, 3, 7, 19, 21, 57, 133, 241, 399, 723, 1687, 4579, 5061, 13737, 32053

Step-4: Factors of 96176

List of positive integer factors of 96176 that divides 96159 without a remainder.

1, 2, 4, 8, 16, 6011, 12022, 24044, 48088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96159 and 96176. The biggest common factor number is the GCF number.
So the greatest common factor 96159 and 96176 is 1.

Also check out the Least Common Multiple of 96159 and 96176