What is the Greatest Common Factor of 8070 and 8085?

Greatest common factor (GCF) of 8070 and 8085 is 15.

GCF(8070,8085) = 15

We will now calculate the prime factors of 8070 and 8085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8070 and 8085.

How to find the GCF of 8070 and 8085?

We will first find the prime factorization of 8070 and 8085. After we will calculate the factors of 8070 and 8085 and find the biggest common factor number .

Step-1: Prime Factorization of 8070

Prime factors of 8070 are 2, 3, 5, 269. Prime factorization of 8070 in exponential form is:

8070 = 2¹ × 3¹ × 5¹ × 269¹

Step-2: 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-3: Factors of 8070

List of positive integer factors of 8070 that divides 8070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035

Step-4: Factors of 8085

List of positive integer factors of 8085 that divides 8070 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8070 and 8085. The biggest common factor number is the GCF number.
So the greatest common factor 8070 and 8085 is 15.

Also check out the Least Common Multiple of 8070 and 8085