What is the Greatest Common Factor of 11082 and 11097?

Greatest common factor (GCF) of 11082 and 11097 is 3.

GCF(11082,11097) = 3

We will now calculate the prime factors of 11082 and 11097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11082 and 11097.

How to find the GCF of 11082 and 11097?

We will first find the prime factorization of 11082 and 11097. After we will calculate the factors of 11082 and 11097 and find the biggest common factor number .

Step-1: Prime Factorization of 11082

Prime factors of 11082 are 2, 3, 1847. Prime factorization of 11082 in exponential form is:

11082 = 2¹ × 3¹ × 1847¹

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 11082

List of positive integer factors of 11082 that divides 11082 without a remainder.

1, 2, 3, 6, 1847, 3694, 5541

Step-4: Factors of 11097

List of positive integer factors of 11097 that divides 11082 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 11082 and 11097. The biggest common factor number is the GCF number.
So the greatest common factor 11082 and 11097 is 3.

Also check out the Least Common Multiple of 11082 and 11097