What is the Greatest Common Factor of 8085 and 8097?

Greatest common factor (GCF) of 8085 and 8097 is 3.

GCF(8085,8097) = 3

We will now calculate the prime factors of 8085 and 8097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8085 and 8097.

How to find the GCF of 8085 and 8097?

We will first find the prime factorization of 8085 and 8097. After we will calculate the factors of 8085 and 8097 and find the biggest common factor number .

Step-1: Prime Factorization of 8085

Prime factors of 8085 are 3, 5, 7, 11. Prime factorization of 8085 in exponential form is:

8085 = 3¹ × 5¹ × 7² × 11¹

Step-2: Prime Factorization of 8097

Prime factors of 8097 are 3, 2699. Prime factorization of 8097 in exponential form is:

8097 = 3¹ × 2699¹

Step-3: Factors of 8085

List of positive integer factors of 8085 that divides 8085 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695

Step-4: Factors of 8097

List of positive integer factors of 8097 that divides 8085 without a remainder.

1, 3, 2699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8085 and 8097. The biggest common factor number is the GCF number.
So the greatest common factor 8085 and 8097 is 3.

Also check out the Least Common Multiple of 8085 and 8097