What is the Greatest Common Factor of 10176 and 10194?

Greatest common factor (GCF) of 10176 and 10194 is 6.

GCF(10176,10194) = 6

We will now calculate the prime factors of 10176 and 10194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10176 and 10194.

How to find the GCF of 10176 and 10194?

We will first find the prime factorization of 10176 and 10194. After we will calculate the factors of 10176 and 10194 and find the biggest common factor number .

Step-1: Prime Factorization of 10176

Prime factors of 10176 are 2, 3, 53. Prime factorization of 10176 in exponential form is:

10176 = 2⁶ × 3¹ × 53¹

Step-2: Prime Factorization of 10194

Prime factors of 10194 are 2, 3, 1699. Prime factorization of 10194 in exponential form is:

10194 = 2¹ × 3¹ × 1699¹

Step-3: Factors of 10176

List of positive integer factors of 10176 that divides 10176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 64, 96, 106, 159, 192, 212, 318, 424, 636, 848, 1272, 1696, 2544, 3392, 5088

Step-4: Factors of 10194

List of positive integer factors of 10194 that divides 10176 without a remainder.

1, 2, 3, 6, 1699, 3398, 5097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10176 and 10194. The biggest common factor number is the GCF number.
So the greatest common factor 10176 and 10194 is 6.

Also check out the Least Common Multiple of 10176 and 10194