What is the Greatest Common Factor of 11097 and 11106?

Greatest common factor (GCF) of 11097 and 11106 is 9.

GCF(11097,11106) = 9

We will now calculate the prime factors of 11097 and 11106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11097 and 11106.

How to find the GCF of 11097 and 11106?

We will first find the prime factorization of 11097 and 11106. After we will calculate the factors of 11097 and 11106 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 11106

Prime factors of 11106 are 2, 3, 617. Prime factorization of 11106 in exponential form is:

11106 = 2¹ × 3² × 617¹

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 11106

List of positive integer factors of 11106 that divides 11097 without a remainder.

1, 2, 3, 6, 9, 18, 617, 1234, 1851, 3702, 5553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11097 and 11106. The biggest common factor number is the GCF number.
So the greatest common factor 11097 and 11106 is 9.

Also check out the Least Common Multiple of 11097 and 11106