What is the Greatest Common Factor of 76146 and 76165?

Greatest common factor (GCF) of 76146 and 76165 is 1.

GCF(76146,76165) = 1

We will now calculate the prime factors of 76146 and 76165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76146 and 76165.

How to find the GCF of 76146 and 76165?

We will first find the prime factorization of 76146 and 76165. After we will calculate the factors of 76146 and 76165 and find the biggest common factor number .

Step-1: Prime Factorization of 76146

Prime factors of 76146 are 2, 3, 7, 37. Prime factorization of 76146 in exponential form is:

76146 = 2¹ × 3¹ × 7³ × 37¹

Step-2: Prime Factorization of 76165

Prime factors of 76165 are 5, 15233. Prime factorization of 76165 in exponential form is:

76165 = 5¹ × 15233¹

Step-3: Factors of 76146

List of positive integer factors of 76146 that divides 76146 without a remainder.

1, 2, 3, 6, 7, 14, 21, 37, 42, 49, 74, 98, 111, 147, 222, 259, 294, 343, 518, 686, 777, 1029, 1554, 1813, 2058, 3626, 5439, 10878, 12691, 25382, 38073

Step-4: Factors of 76165

List of positive integer factors of 76165 that divides 76146 without a remainder.

1, 5, 15233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76146 and 76165. The biggest common factor number is the GCF number.
So the greatest common factor 76146 and 76165 is 1.

Also check out the Least Common Multiple of 76146 and 76165