What is the Greatest Common Factor of 81384 and 81402?

Greatest common factor (GCF) of 81384 and 81402 is 6.

GCF(81384,81402) = 6

We will now calculate the prime factors of 81384 and 81402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81384 and 81402.

How to find the GCF of 81384 and 81402?

We will first find the prime factorization of 81384 and 81402. After we will calculate the factors of 81384 and 81402 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 81402

Prime factors of 81402 are 2, 3, 13567. Prime factorization of 81402 in exponential form is:

81402 = 2¹ × 3¹ × 13567¹

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 81402

List of positive integer factors of 81402 that divides 81384 without a remainder.

1, 2, 3, 6, 13567, 27134, 40701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81384 and 81402. The biggest common factor number is the GCF number.
So the greatest common factor 81384 and 81402 is 6.

Also check out the Least Common Multiple of 81384 and 81402