What is the Greatest Common Factor of 11145 and 11165?

Greatest common factor (GCF) of 11145 and 11165 is 5.

GCF(11145,11165) = 5

We will now calculate the prime factors of 11145 and 11165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11145 and 11165.

How to find the GCF of 11145 and 11165?

We will first find the prime factorization of 11145 and 11165. After we will calculate the factors of 11145 and 11165 and find the biggest common factor number .

Step-1: Prime Factorization of 11145

Prime factors of 11145 are 3, 5, 743. Prime factorization of 11145 in exponential form is:

11145 = 3¹ × 5¹ × 743¹

Step-2: 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-3: Factors of 11145

List of positive integer factors of 11145 that divides 11145 without a remainder.

1, 3, 5, 15, 743, 2229, 3715

Step-4: Factors of 11165

List of positive integer factors of 11165 that divides 11145 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11145 and 11165. The biggest common factor number is the GCF number.
So the greatest common factor 11145 and 11165 is 5.

Also check out the Least Common Multiple of 11145 and 11165