What is the Greatest Common Factor of 76162 and 76167?

Greatest common factor (GCF) of 76162 and 76167 is 1.

GCF(76162,76167) = 1

We will now calculate the prime factors of 76162 and 76167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76162 and 76167.

How to find the GCF of 76162 and 76167?

We will first find the prime factorization of 76162 and 76167. After we will calculate the factors of 76162 and 76167 and find the biggest common factor number .

Step-1: Prime Factorization of 76162

Prime factors of 76162 are 2, 113, 337. Prime factorization of 76162 in exponential form is:

76162 = 2¹ × 113¹ × 337¹

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 76162

List of positive integer factors of 76162 that divides 76162 without a remainder.

1, 2, 113, 226, 337, 674, 38081

Step-4: Factors of 76167

List of positive integer factors of 76167 that divides 76162 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 76162 and 76167. The biggest common factor number is the GCF number.
So the greatest common factor 76162 and 76167 is 1.

Also check out the Least Common Multiple of 76162 and 76167