What is the Greatest Common Factor of 76176 and 76194?

Greatest common factor (GCF) of 76176 and 76194 is 18.

GCF(76176,76194) = 18

We will now calculate the prime factors of 76176 and 76194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76176 and 76194.

How to find the GCF of 76176 and 76194?

We will first find the prime factorization of 76176 and 76194. After we will calculate the factors of 76176 and 76194 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76194

Prime factors of 76194 are 2, 3, 17, 83. Prime factorization of 76194 in exponential form is:

76194 = 2¹ × 3³ × 17¹ × 83¹

Step-3: Factors of 76176

List of positive integer factors of 76176 that divides 76176 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

Step-4: Factors of 76194

List of positive integer factors of 76194 that divides 76176 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 83, 102, 153, 166, 249, 306, 459, 498, 747, 918, 1411, 1494, 2241, 2822, 4233, 4482, 8466, 12699, 25398, 38097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76176 and 76194. The biggest common factor number is the GCF number.
So the greatest common factor 76176 and 76194 is 18.

Also check out the Least Common Multiple of 76176 and 76194