What is the Greatest Common Factor of 76158 and 76176?

Greatest common factor (GCF) of 76158 and 76176 is 18.

GCF(76158,76176) = 18

We will now calculate the prime factors of 76158 and 76176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76158 and 76176.

How to find the GCF of 76158 and 76176?

We will first find the prime factorization of 76158 and 76176. After we will calculate the factors of 76158 and 76176 and find the biggest common factor number .

Step-1: Prime Factorization of 76158

Prime factors of 76158 are 2, 3, 4231. Prime factorization of 76158 in exponential form is:

76158 = 2¹ × 3² × 4231¹

Step-2: Prime Factorization of 76176

Prime factors of 76176 are 2, 3, 23. Prime factorization of 76176 in exponential form is:

76176 = 2⁴ × 3² × 23²

Step-3: Factors of 76158

List of positive integer factors of 76158 that divides 76158 without a remainder.

1, 2, 3, 6, 9, 18, 4231, 8462, 12693, 25386, 38079

Step-4: Factors of 76176

List of positive integer factors of 76176 that divides 76158 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 529, 552, 828, 1058, 1104, 1587, 1656, 2116, 3174, 3312, 4232, 4761, 6348, 8464, 9522, 12696, 19044, 25392, 38088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76158 and 76176. The biggest common factor number is the GCF number.
So the greatest common factor 76158 and 76176 is 18.

Also check out the Least Common Multiple of 76158 and 76176