What is the Greatest Common Factor of 11097 and 11101?

Greatest common factor (GCF) of 11097 and 11101 is 1.

GCF(11097,11101) = 1

We will now calculate the prime factors of 11097 and 11101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11097 and 11101.

How to find the GCF of 11097 and 11101?

We will first find the prime factorization of 11097 and 11101. After we will calculate the factors of 11097 and 11101 and find the biggest common factor number .

Step-1: Prime Factorization of 11097

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

11097 = 3⁴ × 137¹

Step-2: Prime Factorization of 11101

Prime factors of 11101 are 17, 653. Prime factorization of 11101 in exponential form is:

11101 = 17¹ × 653¹

Step-3: Factors of 11097

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

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

Step-4: Factors of 11101

List of positive integer factors of 11101 that divides 11097 without a remainder.

1, 17, 653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11097 and 11101. The biggest common factor number is the GCF number.
So the greatest common factor 11097 and 11101 is 1.

Also check out the Least Common Multiple of 11097 and 11101