What is the Greatest Common Factor of 81684 and 81699?

Greatest common factor (GCF) of 81684 and 81699 is 3.

GCF(81684,81699) = 3

We will now calculate the prime factors of 81684 and 81699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81684 and 81699.

How to find the GCF of 81684 and 81699?

We will first find the prime factorization of 81684 and 81699. After we will calculate the factors of 81684 and 81699 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81699

Prime factors of 81699 are 3, 113, 241. Prime factorization of 81699 in exponential form is:

81699 = 3¹ × 113¹ × 241¹

Step-3: Factors of 81684

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

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

Step-4: Factors of 81699

List of positive integer factors of 81699 that divides 81684 without a remainder.

1, 3, 113, 241, 339, 723, 27233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81684 and 81699. The biggest common factor number is the GCF number.
So the greatest common factor 81684 and 81699 is 3.

Also check out the Least Common Multiple of 81684 and 81699