What is the Greatest Common Factor of 81822 and 81837?

Greatest common factor (GCF) of 81822 and 81837 is 3.

GCF(81822,81837) = 3

We will now calculate the prime factors of 81822 and 81837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81822 and 81837.

How to find the GCF of 81822 and 81837?

We will first find the prime factorization of 81822 and 81837. After we will calculate the factors of 81822 and 81837 and find the biggest common factor number .

Step-1: Prime Factorization of 81822

Prime factors of 81822 are 2, 3, 13, 1049. Prime factorization of 81822 in exponential form is:

81822 = 2¹ × 3¹ × 13¹ × 1049¹

Step-2: Prime Factorization of 81837

Prime factors of 81837 are 3, 7, 433. Prime factorization of 81837 in exponential form is:

81837 = 3³ × 7¹ × 433¹

Step-3: Factors of 81822

List of positive integer factors of 81822 that divides 81822 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1049, 2098, 3147, 6294, 13637, 27274, 40911

Step-4: Factors of 81837

List of positive integer factors of 81837 that divides 81822 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 433, 1299, 3031, 3897, 9093, 11691, 27279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81822 and 81837. The biggest common factor number is the GCF number.
So the greatest common factor 81822 and 81837 is 3.

Also check out the Least Common Multiple of 81822 and 81837