What is the Greatest Common Factor of 76167 and 76180?

Greatest common factor (GCF) of 76167 and 76180 is 13.

GCF(76167,76180) = 13

We will now calculate the prime factors of 76167 and 76180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76167 and 76180.

How to find the GCF of 76167 and 76180?

We will first find the prime factorization of 76167 and 76180. After we will calculate the factors of 76167 and 76180 and find the biggest common factor number .

Step-1: Prime Factorization of 76167

Prime factors of 76167 are 3, 7, 13, 31. Prime factorization of 76167 in exponential form is:

76167 = 3³ × 7¹ × 13¹ × 31¹

Step-2: Prime Factorization of 76180

Prime factors of 76180 are 2, 5, 13, 293. Prime factorization of 76180 in exponential form is:

76180 = 2² × 5¹ × 13¹ × 293¹

Step-3: Factors of 76167

List of positive integer factors of 76167 that divides 76167 without a remainder.

1, 3, 7, 9, 13, 21, 27, 31, 39, 63, 91, 93, 117, 189, 217, 273, 279, 351, 403, 651, 819, 837, 1209, 1953, 2457, 2821, 3627, 5859, 8463, 10881, 25389

Step-4: Factors of 76180

List of positive integer factors of 76180 that divides 76167 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 293, 586, 1172, 1465, 2930, 3809, 5860, 7618, 15236, 19045, 38090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76167 and 76180. The biggest common factor number is the GCF number.
So the greatest common factor 76167 and 76180 is 13.

Also check out the Least Common Multiple of 76167 and 76180