What is the Greatest Common Factor of 82865 and 82875?

Greatest common factor (GCF) of 82865 and 82875 is 5.

GCF(82865,82875) = 5

We will now calculate the prime factors of 82865 and 82875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82865 and 82875.

How to find the GCF of 82865 and 82875?

We will first find the prime factorization of 82865 and 82875. After we will calculate the factors of 82865 and 82875 and find the biggest common factor number .

Step-1: Prime Factorization of 82865

Prime factors of 82865 are 5, 16573. Prime factorization of 82865 in exponential form is:

82865 = 5¹ × 16573¹

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 82865

List of positive integer factors of 82865 that divides 82865 without a remainder.

1, 5, 16573

Step-4: Factors of 82875

List of positive integer factors of 82875 that divides 82865 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 82865 and 82875. The biggest common factor number is the GCF number.
So the greatest common factor 82865 and 82875 is 5.

Also check out the Least Common Multiple of 82865 and 82875