What is the Greatest Common Factor of 18684 and 18692?

Greatest common factor (GCF) of 18684 and 18692 is 4.

GCF(18684,18692) = 4

We will now calculate the prime factors of 18684 and 18692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18684 and 18692.

How to find the GCF of 18684 and 18692?

We will first find the prime factorization of 18684 and 18692. After we will calculate the factors of 18684 and 18692 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 18692

Prime factors of 18692 are 2, 4673. Prime factorization of 18692 in exponential form is:

18692 = 2² × 4673¹

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 18692

List of positive integer factors of 18692 that divides 18684 without a remainder.

1, 2, 4, 4673, 9346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18684 and 18692. The biggest common factor number is the GCF number.
So the greatest common factor 18684 and 18692 is 4.

Also check out the Least Common Multiple of 18684 and 18692