What is the Greatest Common Factor of 82821 and 82836?

Greatest common factor (GCF) of 82821 and 82836 is 3.

GCF(82821,82836) = 3

We will now calculate the prime factors of 82821 and 82836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82821 and 82836.

How to find the GCF of 82821 and 82836?

We will first find the prime factorization of 82821 and 82836. After we will calculate the factors of 82821 and 82836 and find the biggest common factor number .

Step-1: Prime Factorization of 82821

Prime factors of 82821 are 3, 19, 1453. Prime factorization of 82821 in exponential form is:

82821 = 3¹ × 19¹ × 1453¹

Step-2: Prime Factorization of 82836

Prime factors of 82836 are 2, 3, 13, 59. Prime factorization of 82836 in exponential form is:

82836 = 2² × 3³ × 13¹ × 59¹

Step-3: Factors of 82821

List of positive integer factors of 82821 that divides 82821 without a remainder.

1, 3, 19, 57, 1453, 4359, 27607

Step-4: Factors of 82836

List of positive integer factors of 82836 that divides 82821 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 59, 78, 108, 117, 118, 156, 177, 234, 236, 351, 354, 468, 531, 702, 708, 767, 1062, 1404, 1534, 1593, 2124, 2301, 3068, 3186, 4602, 6372, 6903, 9204, 13806, 20709, 27612, 41418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82821 and 82836. The biggest common factor number is the GCF number.
So the greatest common factor 82821 and 82836 is 3.

Also check out the Least Common Multiple of 82821 and 82836