What is the Greatest Common Factor of 10176 and 10185?

Greatest common factor (GCF) of 10176 and 10185 is 3.

GCF(10176,10185) = 3

We will now calculate the prime factors of 10176 and 10185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10176 and 10185.

How to find the GCF of 10176 and 10185?

We will first find the prime factorization of 10176 and 10185. After we will calculate the factors of 10176 and 10185 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 10185

Prime factors of 10185 are 3, 5, 7, 97. Prime factorization of 10185 in exponential form is:

10185 = 3¹ × 5¹ × 7¹ × 97¹

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 10185

List of positive integer factors of 10185 that divides 10176 without a remainder.

1, 3, 5, 7, 15, 21, 35, 97, 105, 291, 485, 679, 1455, 2037, 3395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10176 and 10185. The biggest common factor number is the GCF number.
So the greatest common factor 10176 and 10185 is 3.

Also check out the Least Common Multiple of 10176 and 10185