What is the Greatest Common Factor of 81369 and 81384?

Greatest common factor (GCF) of 81369 and 81384 is 3.

GCF(81369,81384) = 3

We will now calculate the prime factors of 81369 and 81384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81369 and 81384.

How to find the GCF of 81369 and 81384?

We will first find the prime factorization of 81369 and 81384. After we will calculate the factors of 81369 and 81384 and find the biggest common factor number .

Step-1: Prime Factorization of 81369

Prime factors of 81369 are 3, 9041. Prime factorization of 81369 in exponential form is:

81369 = 3² × 9041¹

Step-2: Prime Factorization of 81384

Prime factors of 81384 are 2, 3, 3391. Prime factorization of 81384 in exponential form is:

81384 = 2³ × 3¹ × 3391¹

Step-3: Factors of 81369

List of positive integer factors of 81369 that divides 81369 without a remainder.

1, 3, 9, 9041, 27123

Step-4: Factors of 81384

List of positive integer factors of 81384 that divides 81369 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3391, 6782, 10173, 13564, 20346, 27128, 40692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81369 and 81384. The biggest common factor number is the GCF number.
So the greatest common factor 81369 and 81384 is 3.

Also check out the Least Common Multiple of 81369 and 81384