What is the Greatest Common Factor of 11145 and 11155?

Greatest common factor (GCF) of 11145 and 11155 is 5.

GCF(11145,11155) = 5

We will now calculate the prime factors of 11145 and 11155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11145 and 11155.

How to find the GCF of 11145 and 11155?

We will first find the prime factorization of 11145 and 11155. After we will calculate the factors of 11145 and 11155 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 11155

Prime factors of 11155 are 5, 23, 97. Prime factorization of 11155 in exponential form is:

11155 = 5¹ × 23¹ × 97¹

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 11155

List of positive integer factors of 11155 that divides 11145 without a remainder.

1, 5, 23, 97, 115, 485, 2231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11145 and 11155. The biggest common factor number is the GCF number.
So the greatest common factor 11145 and 11155 is 5.

Also check out the Least Common Multiple of 11145 and 11155