What is the Greatest Common Factor of 81804 and 81821?

Greatest common factor (GCF) of 81804 and 81821 is 17.

GCF(81804,81821) = 17

We will now calculate the prime factors of 81804 and 81821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81804 and 81821.

How to find the GCF of 81804 and 81821?

We will first find the prime factorization of 81804 and 81821. After we will calculate the factors of 81804 and 81821 and find the biggest common factor number .

Step-1: Prime Factorization of 81804

Prime factors of 81804 are 2, 3, 17, 401. Prime factorization of 81804 in exponential form is:

81804 = 2² × 3¹ × 17¹ × 401¹

Step-2: Prime Factorization of 81821

Prime factors of 81821 are 17, 4813. Prime factorization of 81821 in exponential form is:

81821 = 17¹ × 4813¹

Step-3: Factors of 81804

List of positive integer factors of 81804 that divides 81804 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 401, 802, 1203, 1604, 2406, 4812, 6817, 13634, 20451, 27268, 40902

Step-4: Factors of 81821

List of positive integer factors of 81821 that divides 81804 without a remainder.

1, 17, 4813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81804 and 81821. The biggest common factor number is the GCF number.
So the greatest common factor 81804 and 81821 is 17.

Also check out the Least Common Multiple of 81804 and 81821