What is the Greatest Common Factor of 81816 and 81831?

Greatest common factor (GCF) of 81816 and 81831 is 3.

GCF(81816,81831) = 3

We will now calculate the prime factors of 81816 and 81831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81816 and 81831.

How to find the GCF of 81816 and 81831?

We will first find the prime factorization of 81816 and 81831. After we will calculate the factors of 81816 and 81831 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81831

Prime factors of 81831 are 3, 27277. Prime factorization of 81831 in exponential form is:

81831 = 3¹ × 27277¹

Step-3: Factors of 81816

List of positive integer factors of 81816 that divides 81816 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

Step-4: Factors of 81831

List of positive integer factors of 81831 that divides 81816 without a remainder.

1, 3, 27277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81816 and 81831. The biggest common factor number is the GCF number.
So the greatest common factor 81816 and 81831 is 3.

Also check out the Least Common Multiple of 81816 and 81831