What is the Greatest Common Factor of 76146 and 76151?

Greatest common factor (GCF) of 76146 and 76151 is 1.

GCF(76146,76151) = 1

We will now calculate the prime factors of 76146 and 76151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76146 and 76151.

How to find the GCF of 76146 and 76151?

We will first find the prime factorization of 76146 and 76151. After we will calculate the factors of 76146 and 76151 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 76151

Prime factors of 76151 are 271, 281. Prime factorization of 76151 in exponential form is:

76151 = 271¹ × 281¹

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 76151

List of positive integer factors of 76151 that divides 76146 without a remainder.

1, 271, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76146 and 76151. The biggest common factor number is the GCF number.
So the greatest common factor 76146 and 76151 is 1.

Also check out the Least Common Multiple of 76146 and 76151