What is the Greatest Common Factor of 81324 and 81336?

Greatest common factor (GCF) of 81324 and 81336 is 12.

GCF(81324,81336) = 12

We will now calculate the prime factors of 81324 and 81336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81324 and 81336.

How to find the GCF of 81324 and 81336?

We will first find the prime factorization of 81324 and 81336. After we will calculate the factors of 81324 and 81336 and find the biggest common factor number .

Step-1: Prime Factorization of 81324

Prime factors of 81324 are 2, 3, 251. Prime factorization of 81324 in exponential form is:

81324 = 2² × 3⁴ × 251¹

Step-2: Prime Factorization of 81336

Prime factors of 81336 are 2, 3, 3389. Prime factorization of 81336 in exponential form is:

81336 = 2³ × 3¹ × 3389¹

Step-3: Factors of 81324

List of positive integer factors of 81324 that divides 81324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 251, 324, 502, 753, 1004, 1506, 2259, 3012, 4518, 6777, 9036, 13554, 20331, 27108, 40662

Step-4: Factors of 81336

List of positive integer factors of 81336 that divides 81324 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3389, 6778, 10167, 13556, 20334, 27112, 40668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81324 and 81336. The biggest common factor number is the GCF number.
So the greatest common factor 81324 and 81336 is 12.

Also check out the Least Common Multiple of 81324 and 81336