What is the Greatest Common Factor of 18684 and 18690?

Greatest common factor (GCF) of 18684 and 18690 is 6.

GCF(18684,18690) = 6

We will now calculate the prime factors of 18684 and 18690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18684 and 18690.

How to find the GCF of 18684 and 18690?

We will first find the prime factorization of 18684 and 18690. After we will calculate the factors of 18684 and 18690 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 18690

Prime factors of 18690 are 2, 3, 5, 7, 89. Prime factorization of 18690 in exponential form is:

18690 = 2¹ × 3¹ × 5¹ × 7¹ × 89¹

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 18690

List of positive integer factors of 18690 that divides 18684 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 89, 105, 178, 210, 267, 445, 534, 623, 890, 1246, 1335, 1869, 2670, 3115, 3738, 6230, 9345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18684 and 18690. The biggest common factor number is the GCF number.
So the greatest common factor 18684 and 18690 is 6.

Also check out the Least Common Multiple of 18684 and 18690