What is the Greatest Common Factor of 76164 and 76176?

Greatest common factor (GCF) of 76164 and 76176 is 12.

GCF(76164,76176) = 12

We will now calculate the prime factors of 76164 and 76176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76164 and 76176.

How to find the GCF of 76164 and 76176?

We will first find the prime factorization of 76164 and 76176. After we will calculate the factors of 76164 and 76176 and find the biggest common factor number .

Step-1: Prime Factorization of 76164

Prime factors of 76164 are 2, 3, 11, 577. Prime factorization of 76164 in exponential form is:

76164 = 2² × 3¹ × 11¹ × 577¹

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 76164

List of positive integer factors of 76164 that divides 76164 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 577, 1154, 1731, 2308, 3462, 6347, 6924, 12694, 19041, 25388, 38082

Step-4: Factors of 76176

List of positive integer factors of 76176 that divides 76164 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 76164 and 76176. The biggest common factor number is the GCF number.
So the greatest common factor 76164 and 76176 is 12.

Also check out the Least Common Multiple of 76164 and 76176