What is the Greatest Common Factor of 18684 and 18699?

Greatest common factor (GCF) of 18684 and 18699 is 3.

GCF(18684,18699) = 3

We will now calculate the prime factors of 18684 and 18699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18684 and 18699.

How to find the GCF of 18684 and 18699?

We will first find the prime factorization of 18684 and 18699. After we will calculate the factors of 18684 and 18699 and find the biggest common factor number .

Step-1: Prime Factorization of 18684

Prime factors of 18684 are 2, 3, 173. Prime factorization of 18684 in exponential form is:

18684 = 2² × 3³ × 173¹

Step-2: Prime Factorization of 18699

Prime factors of 18699 are 3, 23, 271. Prime factorization of 18699 in exponential form is:

18699 = 3¹ × 23¹ × 271¹

Step-3: Factors of 18684

List of positive integer factors of 18684 that divides 18684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 173, 346, 519, 692, 1038, 1557, 2076, 3114, 4671, 6228, 9342

Step-4: Factors of 18699

List of positive integer factors of 18699 that divides 18684 without a remainder.

1, 3, 23, 69, 271, 813, 6233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18684 and 18699. The biggest common factor number is the GCF number.
So the greatest common factor 18684 and 18699 is 3.

Also check out the Least Common Multiple of 18684 and 18699