What is the Greatest Common Factor of 82871 and 82875?

Greatest common factor (GCF) of 82871 and 82875 is 1.

GCF(82871,82875) = 1

We will now calculate the prime factors of 82871 and 82875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82871 and 82875.

How to find the GCF of 82871 and 82875?

We will first find the prime factorization of 82871 and 82875. After we will calculate the factors of 82871 and 82875 and find the biggest common factor number .

Step-1: Prime Factorization of 82871

Prime factors of 82871 are 79, 1049. Prime factorization of 82871 in exponential form is:

82871 = 79¹ × 1049¹

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 82871

List of positive integer factors of 82871 that divides 82871 without a remainder.

1, 79, 1049

Step-4: Factors of 82875

List of positive integer factors of 82875 that divides 82871 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 82871 and 82875. The biggest common factor number is the GCF number.
So the greatest common factor 82871 and 82875 is 1.

Also check out the Least Common Multiple of 82871 and 82875