What is the Greatest Common Factor of 76179 and 76188?

Greatest common factor (GCF) of 76179 and 76188 is 3.

GCF(76179,76188) = 3

We will now calculate the prime factors of 76179 and 76188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76179 and 76188.

How to find the GCF of 76179 and 76188?

We will first find the prime factorization of 76179 and 76188. After we will calculate the factors of 76179 and 76188 and find the biggest common factor number .

Step-1: Prime Factorization of 76179

Prime factors of 76179 are 3, 67, 379. Prime factorization of 76179 in exponential form is:

76179 = 3¹ × 67¹ × 379¹

Step-2: Prime Factorization of 76188

Prime factors of 76188 are 2, 3, 7, 907. Prime factorization of 76188 in exponential form is:

76188 = 2² × 3¹ × 7¹ × 907¹

Step-3: Factors of 76179

List of positive integer factors of 76179 that divides 76179 without a remainder.

1, 3, 67, 201, 379, 1137, 25393

Step-4: Factors of 76188

List of positive integer factors of 76188 that divides 76179 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 907, 1814, 2721, 3628, 5442, 6349, 10884, 12698, 19047, 25396, 38094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76179 and 76188. The biggest common factor number is the GCF number.
So the greatest common factor 76179 and 76188 is 3.

Also check out the Least Common Multiple of 76179 and 76188