What is the Greatest Common Factor of 10164 and 10175?

Greatest common factor (GCF) of 10164 and 10175 is 11.

GCF(10164,10175) = 11

We will now calculate the prime factors of 10164 and 10175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10164 and 10175.

How to find the GCF of 10164 and 10175?

We will first find the prime factorization of 10164 and 10175. After we will calculate the factors of 10164 and 10175 and find the biggest common factor number .

Step-1: Prime Factorization of 10164

Prime factors of 10164 are 2, 3, 7, 11. Prime factorization of 10164 in exponential form is:

10164 = 2² × 3¹ × 7¹ × 11²

Step-2: Prime Factorization of 10175

Prime factors of 10175 are 5, 11, 37. Prime factorization of 10175 in exponential form is:

10175 = 5² × 11¹ × 37¹

Step-3: Factors of 10164

List of positive integer factors of 10164 that divides 10164 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 121, 132, 154, 231, 242, 308, 363, 462, 484, 726, 847, 924, 1452, 1694, 2541, 3388, 5082

Step-4: Factors of 10175

List of positive integer factors of 10175 that divides 10164 without a remainder.

1, 5, 11, 25, 37, 55, 185, 275, 407, 925, 2035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10164 and 10175. The biggest common factor number is the GCF number.
So the greatest common factor 10164 and 10175 is 11.

Also check out the Least Common Multiple of 10164 and 10175