What is the Greatest Common Factor of 8085 and 8095?

Greatest common factor (GCF) of 8085 and 8095 is 5.

GCF(8085,8095) = 5

We will now calculate the prime factors of 8085 and 8095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8085 and 8095.

How to find the GCF of 8085 and 8095?

We will first find the prime factorization of 8085 and 8095. After we will calculate the factors of 8085 and 8095 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 8095

Prime factors of 8095 are 5, 1619. Prime factorization of 8095 in exponential form is:

8095 = 5¹ × 1619¹

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 8095

List of positive integer factors of 8095 that divides 8085 without a remainder.

1, 5, 1619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8085 and 8095. The biggest common factor number is the GCF number.
So the greatest common factor 8085 and 8095 is 5.

Also check out the Least Common Multiple of 8085 and 8095