What is the Greatest Common Factor of 11165 and 11175?

Greatest common factor (GCF) of 11165 and 11175 is 5.

GCF(11165,11175) = 5

We will now calculate the prime factors of 11165 and 11175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11165 and 11175.

How to find the GCF of 11165 and 11175?

We will first find the prime factorization of 11165 and 11175. After we will calculate the factors of 11165 and 11175 and find the biggest common factor number .

Step-1: Prime Factorization of 11165

Prime factors of 11165 are 5, 7, 11, 29. Prime factorization of 11165 in exponential form is:

11165 = 5¹ × 7¹ × 11¹ × 29¹

Step-2: 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-3: Factors of 11165

List of positive integer factors of 11165 that divides 11165 without a remainder.

1, 5, 7, 11, 29, 35, 55, 77, 145, 203, 319, 385, 1015, 1595, 2233

Step-4: Factors of 11175

List of positive integer factors of 11175 that divides 11165 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11165 and 11175. The biggest common factor number is the GCF number.
So the greatest common factor 11165 and 11175 is 5.

Also check out the Least Common Multiple of 11165 and 11175