What is the Greatest Common Factor of 81384 and 81392?

Greatest common factor (GCF) of 81384 and 81392 is 8.

GCF(81384,81392) = 8

We will now calculate the prime factors of 81384 and 81392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81384 and 81392.

How to find the GCF of 81384 and 81392?

We will first find the prime factorization of 81384 and 81392. After we will calculate the factors of 81384 and 81392 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81392

Prime factors of 81392 are 2, 5087. Prime factorization of 81392 in exponential form is:

81392 = 2⁴ × 5087¹

Step-3: Factors of 81384

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

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

Step-4: Factors of 81392

List of positive integer factors of 81392 that divides 81384 without a remainder.

1, 2, 4, 8, 16, 5087, 10174, 20348, 40696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81384 and 81392. The biggest common factor number is the GCF number.
So the greatest common factor 81384 and 81392 is 8.

Also check out the Least Common Multiple of 81384 and 81392