What is the Greatest Common Factor of 9086 and 9097?

Greatest common factor (GCF) of 9086 and 9097 is 11.

GCF(9086,9097) = 11

We will now calculate the prime factors of 9086 and 9097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9086 and 9097.

How to find the GCF of 9086 and 9097?

We will first find the prime factorization of 9086 and 9097. After we will calculate the factors of 9086 and 9097 and find the biggest common factor number .

Step-1: Prime Factorization of 9086

Prime factors of 9086 are 2, 7, 11, 59. Prime factorization of 9086 in exponential form is:

9086 = 2¹ × 7¹ × 11¹ × 59¹

Step-2: Prime Factorization of 9097

Prime factors of 9097 are 11, 827. Prime factorization of 9097 in exponential form is:

9097 = 11¹ × 827¹

Step-3: Factors of 9086

List of positive integer factors of 9086 that divides 9086 without a remainder.

1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543

Step-4: Factors of 9097

List of positive integer factors of 9097 that divides 9086 without a remainder.

1, 11, 827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9086 and 9097. The biggest common factor number is the GCF number.
So the greatest common factor 9086 and 9097 is 11.

Also check out the Least Common Multiple of 9086 and 9097