What is the Greatest Common Factor of 10170 and 10176?

Greatest common factor (GCF) of 10170 and 10176 is 6.

GCF(10170,10176) = 6

We will now calculate the prime factors of 10170 and 10176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10170 and 10176.

How to find the GCF of 10170 and 10176?

We will first find the prime factorization of 10170 and 10176. After we will calculate the factors of 10170 and 10176 and find the biggest common factor number .

Step-1: Prime Factorization of 10170

Prime factors of 10170 are 2, 3, 5, 113. Prime factorization of 10170 in exponential form is:

10170 = 2¹ × 3² × 5¹ × 113¹

Step-2: 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-3: Factors of 10170

List of positive integer factors of 10170 that divides 10170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 113, 226, 339, 565, 678, 1017, 1130, 1695, 2034, 3390, 5085

Step-4: Factors of 10176

List of positive integer factors of 10176 that divides 10170 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10170 and 10176. The biggest common factor number is the GCF number.
So the greatest common factor 10170 and 10176 is 6.

Also check out the Least Common Multiple of 10170 and 10176