What is the Greatest Common Factor of 11085 and 11097?

Greatest common factor (GCF) of 11085 and 11097 is 3.

GCF(11085,11097) = 3

We will now calculate the prime factors of 11085 and 11097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11085 and 11097.

How to find the GCF of 11085 and 11097?

We will first find the prime factorization of 11085 and 11097. After we will calculate the factors of 11085 and 11097 and find the biggest common factor number .

Step-1: Prime Factorization of 11085

Prime factors of 11085 are 3, 5, 739. Prime factorization of 11085 in exponential form is:

11085 = 3¹ × 5¹ × 739¹

Step-2: Prime Factorization of 11097

Prime factors of 11097 are 3, 137. Prime factorization of 11097 in exponential form is:

11097 = 3⁴ × 137¹

Step-3: Factors of 11085

List of positive integer factors of 11085 that divides 11085 without a remainder.

1, 3, 5, 15, 739, 2217, 3695

Step-4: Factors of 11097

List of positive integer factors of 11097 that divides 11085 without a remainder.

1, 3, 9, 27, 81, 137, 411, 1233, 3699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11085 and 11097. The biggest common factor number is the GCF number.
So the greatest common factor 11085 and 11097 is 3.

Also check out the Least Common Multiple of 11085 and 11097