What is the Greatest Common Factor of 81804 and 81816?

Greatest common factor (GCF) of 81804 and 81816 is 12.

GCF(81804,81816) = 12

We will now calculate the prime factors of 81804 and 81816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81804 and 81816.

How to find the GCF of 81804 and 81816?

We will first find the prime factorization of 81804 and 81816. After we will calculate the factors of 81804 and 81816 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 81816

Prime factors of 81816 are 2, 3, 7, 487. Prime factorization of 81816 in exponential form is:

81816 = 2³ × 3¹ × 7¹ × 487¹

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 81816

List of positive integer factors of 81816 that divides 81804 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 487, 974, 1461, 1948, 2922, 3409, 3896, 5844, 6818, 10227, 11688, 13636, 20454, 27272, 40908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81804 and 81816. The biggest common factor number is the GCF number.
So the greatest common factor 81804 and 81816 is 12.

Also check out the Least Common Multiple of 81804 and 81816