What is the Greatest Common Factor of 82839 and 82854?

Greatest common factor (GCF) of 82839 and 82854 is 3.

GCF(82839,82854) = 3

We will now calculate the prime factors of 82839 and 82854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82839 and 82854.

How to find the GCF of 82839 and 82854?

We will first find the prime factorization of 82839 and 82854. After we will calculate the factors of 82839 and 82854 and find the biggest common factor number .

Step-1: Prime Factorization of 82839

Prime factors of 82839 are 3, 53, 521. Prime factorization of 82839 in exponential form is:

82839 = 3¹ × 53¹ × 521¹

Step-2: Prime Factorization of 82854

Prime factors of 82854 are 2, 3, 4603. Prime factorization of 82854 in exponential form is:

82854 = 2¹ × 3² × 4603¹

Step-3: Factors of 82839

List of positive integer factors of 82839 that divides 82839 without a remainder.

1, 3, 53, 159, 521, 1563, 27613

Step-4: Factors of 82854

List of positive integer factors of 82854 that divides 82839 without a remainder.

1, 2, 3, 6, 9, 18, 4603, 9206, 13809, 27618, 41427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82839 and 82854. The biggest common factor number is the GCF number.
So the greatest common factor 82839 and 82854 is 3.

Also check out the Least Common Multiple of 82839 and 82854