What is the Greatest Common Factor of 82870 and 82875?

Greatest common factor (GCF) of 82870 and 82875 is 5.

GCF(82870,82875) = 5

We will now calculate the prime factors of 82870 and 82875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82870 and 82875.

How to find the GCF of 82870 and 82875?

We will first find the prime factorization of 82870 and 82875. After we will calculate the factors of 82870 and 82875 and find the biggest common factor number .

Step-1: Prime Factorization of 82870

Prime factors of 82870 are 2, 5, 8287. Prime factorization of 82870 in exponential form is:

82870 = 2¹ × 5¹ × 8287¹

Step-2: Prime Factorization of 82875

Prime factors of 82875 are 3, 5, 13, 17. Prime factorization of 82875 in exponential form is:

82875 = 3¹ × 5³ × 13¹ × 17¹

Step-3: Factors of 82870

List of positive integer factors of 82870 that divides 82870 without a remainder.

1, 2, 5, 10, 8287, 16574, 41435

Step-4: Factors of 82875

List of positive integer factors of 82875 that divides 82870 without a remainder.

1, 3, 5, 13, 15, 17, 25, 39, 51, 65, 75, 85, 125, 195, 221, 255, 325, 375, 425, 663, 975, 1105, 1275, 1625, 2125, 3315, 4875, 5525, 6375, 16575, 27625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82870 and 82875. The biggest common factor number is the GCF number.
So the greatest common factor 82870 and 82875 is 5.

Also check out the Least Common Multiple of 82870 and 82875