What is the Greatest Common Factor of 8085 and 8105?

Greatest common factor (GCF) of 8085 and 8105 is 5.

GCF(8085,8105) = 5

We will now calculate the prime factors of 8085 and 8105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8085 and 8105.

How to find the GCF of 8085 and 8105?

We will first find the prime factorization of 8085 and 8105. After we will calculate the factors of 8085 and 8105 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 8105

Prime factors of 8105 are 5, 1621. Prime factorization of 8105 in exponential form is:

8105 = 5¹ × 1621¹

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 8105

List of positive integer factors of 8105 that divides 8085 without a remainder.

1, 5, 1621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8085 and 8105. The biggest common factor number is the GCF number.
So the greatest common factor 8085 and 8105 is 5.

Also check out the Least Common Multiple of 8085 and 8105