What is the Greatest Common Factor of 76146 and 76162?

Greatest common factor (GCF) of 76146 and 76162 is 2.

GCF(76146,76162) = 2

We will now calculate the prime factors of 76146 and 76162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76146 and 76162.

How to find the GCF of 76146 and 76162?

We will first find the prime factorization of 76146 and 76162. After we will calculate the factors of 76146 and 76162 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 76162

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

76162 = 2¹ × 113¹ × 337¹

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 76162

List of positive integer factors of 76162 that divides 76146 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76146 and 76162. The biggest common factor number is the GCF number.
So the greatest common factor 76146 and 76162 is 2.

Also check out the Least Common Multiple of 76146 and 76162