What is the Greatest Common Factor of 76154 and 76167?

Greatest common factor (GCF) of 76154 and 76167 is 13.

GCF(76154,76167) = 13

We will now calculate the prime factors of 76154 and 76167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76154 and 76167.

How to find the GCF of 76154 and 76167?

We will first find the prime factorization of 76154 and 76167. After we will calculate the factors of 76154 and 76167 and find the biggest common factor number .

Step-1: Prime Factorization of 76154

Prime factors of 76154 are 2, 13, 29, 101. Prime factorization of 76154 in exponential form is:

76154 = 2¹ × 13¹ × 29¹ × 101¹

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 76154

List of positive integer factors of 76154 that divides 76154 without a remainder.

1, 2, 13, 26, 29, 58, 101, 202, 377, 754, 1313, 2626, 2929, 5858, 38077

Step-4: Factors of 76167

List of positive integer factors of 76167 that divides 76154 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 76154 and 76167. The biggest common factor number is the GCF number.
So the greatest common factor 76154 and 76167 is 13.

Also check out the Least Common Multiple of 76154 and 76167