What is the Greatest Common Factor of 81804 and 81824?

Greatest common factor (GCF) of 81804 and 81824 is 4.

GCF(81804,81824) = 4

We will now calculate the prime factors of 81804 and 81824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81804 and 81824.

How to find the GCF of 81804 and 81824?

We will first find the prime factorization of 81804 and 81824. After we will calculate the factors of 81804 and 81824 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 81824

Prime factors of 81824 are 2, 2557. Prime factorization of 81824 in exponential form is:

81824 = 2⁵ × 2557¹

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 81824

List of positive integer factors of 81824 that divides 81804 without a remainder.

1, 2, 4, 8, 16, 32, 2557, 5114, 10228, 20456, 40912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81804 and 81824. The biggest common factor number is the GCF number.
So the greatest common factor 81804 and 81824 is 4.

Also check out the Least Common Multiple of 81804 and 81824