What is the Greatest Common Factor of 82857 and 82872?

Greatest common factor (GCF) of 82857 and 82872 is 3.

GCF(82857,82872) = 3

We will now calculate the prime factors of 82857 and 82872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82857 and 82872.

How to find the GCF of 82857 and 82872?

We will first find the prime factorization of 82857 and 82872. After we will calculate the factors of 82857 and 82872 and find the biggest common factor number .

Step-1: Prime Factorization of 82857

Prime factors of 82857 are 3, 71, 389. Prime factorization of 82857 in exponential form is:

82857 = 3¹ × 71¹ × 389¹

Step-2: Prime Factorization of 82872

Prime factors of 82872 are 2, 3, 1151. Prime factorization of 82872 in exponential form is:

82872 = 2³ × 3² × 1151¹

Step-3: Factors of 82857

List of positive integer factors of 82857 that divides 82857 without a remainder.

1, 3, 71, 213, 389, 1167, 27619

Step-4: Factors of 82872

List of positive integer factors of 82872 that divides 82857 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1151, 2302, 3453, 4604, 6906, 9208, 10359, 13812, 20718, 27624, 41436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82857 and 82872. The biggest common factor number is the GCF number.
So the greatest common factor 82857 and 82872 is 3.

Also check out the Least Common Multiple of 82857 and 82872