What is the Greatest Common Factor of 82854 and 82860?

Greatest common factor (GCF) of 82854 and 82860 is 6.

GCF(82854,82860) = 6

We will now calculate the prime factors of 82854 and 82860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82854 and 82860.

How to find the GCF of 82854 and 82860?

We will first find the prime factorization of 82854 and 82860. After we will calculate the factors of 82854 and 82860 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82860

Prime factors of 82860 are 2, 3, 5, 1381. Prime factorization of 82860 in exponential form is:

82860 = 2² × 3¹ × 5¹ × 1381¹

Step-3: Factors of 82854

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

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

Step-4: Factors of 82860

List of positive integer factors of 82860 that divides 82854 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1381, 2762, 4143, 5524, 6905, 8286, 13810, 16572, 20715, 27620, 41430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82854 and 82860. The biggest common factor number is the GCF number.
So the greatest common factor 82854 and 82860 is 6.

Also check out the Least Common Multiple of 82854 and 82860