What is the Greatest Common Factor of 11175 and 11190?

Greatest common factor (GCF) of 11175 and 11190 is 15.

GCF(11175,11190) = 15

We will now calculate the prime factors of 11175 and 11190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11175 and 11190.

How to find the GCF of 11175 and 11190?

We will first find the prime factorization of 11175 and 11190. After we will calculate the factors of 11175 and 11190 and find the biggest common factor number .

Step-1: Prime Factorization of 11175

Prime factors of 11175 are 3, 5, 149. Prime factorization of 11175 in exponential form is:

11175 = 3¹ × 5² × 149¹

Step-2: Prime Factorization of 11190

Prime factors of 11190 are 2, 3, 5, 373. Prime factorization of 11190 in exponential form is:

11190 = 2¹ × 3¹ × 5¹ × 373¹

Step-3: Factors of 11175

List of positive integer factors of 11175 that divides 11175 without a remainder.

1, 3, 5, 15, 25, 75, 149, 447, 745, 2235, 3725

Step-4: Factors of 11190

List of positive integer factors of 11190 that divides 11175 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 373, 746, 1119, 1865, 2238, 3730, 5595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11175 and 11190. The biggest common factor number is the GCF number.
So the greatest common factor 11175 and 11190 is 15.

Also check out the Least Common Multiple of 11175 and 11190