What is the Greatest Common Factor of 5070 and 5085?

Greatest common factor (GCF) of 5070 and 5085 is 15.

GCF(5070,5085) = 15

We will now calculate the prime factors of 5070 and 5085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5070 and 5085.

How to find the GCF of 5070 and 5085?

We will first find the prime factorization of 5070 and 5085. After we will calculate the factors of 5070 and 5085 and find the biggest common factor number .

Step-1: Prime Factorization of 5070

Prime factors of 5070 are 2, 3, 5, 13. Prime factorization of 5070 in exponential form is:

5070 = 2¹ × 3¹ × 5¹ × 13²

Step-2: Prime Factorization of 5085

Prime factors of 5085 are 3, 5, 113. Prime factorization of 5085 in exponential form is:

5085 = 3² × 5¹ × 113¹

Step-3: Factors of 5070

List of positive integer factors of 5070 that divides 5070 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535

Step-4: Factors of 5085

List of positive integer factors of 5085 that divides 5070 without a remainder.

1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5070 and 5085. The biggest common factor number is the GCF number.
So the greatest common factor 5070 and 5085 is 15.

Also check out the Least Common Multiple of 5070 and 5085