What is the Greatest Common Factor of 76170 and 76176?

Greatest common factor (GCF) of 76170 and 76176 is 6.

GCF(76170,76176) = 6

We will now calculate the prime factors of 76170 and 76176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76170 and 76176.

How to find the GCF of 76170 and 76176?

We will first find the prime factorization of 76170 and 76176. After we will calculate the factors of 76170 and 76176 and find the biggest common factor number .

Step-1: Prime Factorization of 76170

Prime factors of 76170 are 2, 3, 5, 2539. Prime factorization of 76170 in exponential form is:

76170 = 2¹ × 3¹ × 5¹ × 2539¹

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 76170

List of positive integer factors of 76170 that divides 76170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2539, 5078, 7617, 12695, 15234, 25390, 38085

Step-4: Factors of 76176

List of positive integer factors of 76176 that divides 76170 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 76170 and 76176. The biggest common factor number is the GCF number.
So the greatest common factor 76170 and 76176 is 6.

Also check out the Least Common Multiple of 76170 and 76176