What is the Greatest Common Factor of 82818 and 82827?

Greatest common factor (GCF) of 82818 and 82827 is 9.

GCF(82818,82827) = 9

We will now calculate the prime factors of 82818 and 82827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82818 and 82827.

How to find the GCF of 82818 and 82827?

We will first find the prime factorization of 82818 and 82827. After we will calculate the factors of 82818 and 82827 and find the biggest common factor number .

Step-1: Prime Factorization of 82818

Prime factors of 82818 are 2, 3, 43, 107. Prime factorization of 82818 in exponential form is:

82818 = 2¹ × 3² × 43¹ × 107¹

Step-2: Prime Factorization of 82827

Prime factors of 82827 are 3, 9203. Prime factorization of 82827 in exponential form is:

82827 = 3² × 9203¹

Step-3: Factors of 82818

List of positive integer factors of 82818 that divides 82818 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 107, 129, 214, 258, 321, 387, 642, 774, 963, 1926, 4601, 9202, 13803, 27606, 41409

Step-4: Factors of 82827

List of positive integer factors of 82827 that divides 82818 without a remainder.

1, 3, 9, 9203, 27609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82818 and 82827. The biggest common factor number is the GCF number.
So the greatest common factor 82818 and 82827 is 9.

Also check out the Least Common Multiple of 82818 and 82827