What is the Greatest Common Factor of 81678 and 81684?

Greatest common factor (GCF) of 81678 and 81684 is 6.

GCF(81678,81684) = 6

We will now calculate the prime factors of 81678 and 81684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81678 and 81684.

How to find the GCF of 81678 and 81684?

We will first find the prime factorization of 81678 and 81684. After we will calculate the factors of 81678 and 81684 and find the biggest common factor number .

Step-1: Prime Factorization of 81678

Prime factors of 81678 are 2, 3, 13613. Prime factorization of 81678 in exponential form is:

81678 = 2¹ × 3¹ × 13613¹

Step-2: Prime Factorization of 81684

Prime factors of 81684 are 2, 3, 2269. Prime factorization of 81684 in exponential form is:

81684 = 2² × 3² × 2269¹

Step-3: Factors of 81678

List of positive integer factors of 81678 that divides 81678 without a remainder.

1, 2, 3, 6, 13613, 27226, 40839

Step-4: Factors of 81684

List of positive integer factors of 81684 that divides 81678 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2269, 4538, 6807, 9076, 13614, 20421, 27228, 40842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81678 and 81684. The biggest common factor number is the GCF number.
So the greatest common factor 81678 and 81684 is 6.

Also check out the Least Common Multiple of 81678 and 81684