What is the Greatest Common Factor of 76176 and 76191?

Greatest common factor (GCF) of 76176 and 76191 is 3.

GCF(76176,76191) = 3

We will now calculate the prime factors of 76176 and 76191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76176 and 76191.

How to find the GCF of 76176 and 76191?

We will first find the prime factorization of 76176 and 76191. After we will calculate the factors of 76176 and 76191 and find the biggest common factor number .

Step-1: Prime Factorization of 76176

Prime factors of 76176 are 2, 3, 23. Prime factorization of 76176 in exponential form is:

76176 = 2⁴ × 3² × 23²

Step-2: Prime Factorization of 76191

Prime factors of 76191 are 3, 109, 233. Prime factorization of 76191 in exponential form is:

76191 = 3¹ × 109¹ × 233¹

Step-3: Factors of 76176

List of positive integer factors of 76176 that divides 76176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 529, 552, 828, 1058, 1104, 1587, 1656, 2116, 3174, 3312, 4232, 4761, 6348, 8464, 9522, 12696, 19044, 25392, 38088

Step-4: Factors of 76191

List of positive integer factors of 76191 that divides 76176 without a remainder.

1, 3, 109, 233, 327, 699, 25397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76176 and 76191. The biggest common factor number is the GCF number.
So the greatest common factor 76176 and 76191 is 3.

Also check out the Least Common Multiple of 76176 and 76191