What is the Greatest Common Factor of 76161 and 76167?

Greatest common factor (GCF) of 76161 and 76167 is 3.

GCF(76161,76167) = 3

We will now calculate the prime factors of 76161 and 76167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76161 and 76167.

How to find the GCF of 76161 and 76167?

We will first find the prime factorization of 76161 and 76167. After we will calculate the factors of 76161 and 76167 and find the biggest common factor number .

Step-1: Prime Factorization of 76161

Prime factors of 76161 are 3, 53, 479. Prime factorization of 76161 in exponential form is:

76161 = 3¹ × 53¹ × 479¹

Step-2: 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-3: Factors of 76161

List of positive integer factors of 76161 that divides 76161 without a remainder.

1, 3, 53, 159, 479, 1437, 25387

Step-4: Factors of 76167

List of positive integer factors of 76167 that divides 76161 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76161 and 76167. The biggest common factor number is the GCF number.
So the greatest common factor 76161 and 76167 is 3.

Also check out the Least Common Multiple of 76161 and 76167