What is the Greatest Common Factor of 18684 and 18703?

Greatest common factor (GCF) of 18684 and 18703 is 1.

GCF(18684,18703) = 1

We will now calculate the prime factors of 18684 and 18703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18684 and 18703.

How to find the GCF of 18684 and 18703?

We will first find the prime factorization of 18684 and 18703. After we will calculate the factors of 18684 and 18703 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 18703

Prime factors of 18703 are 59, 317. Prime factorization of 18703 in exponential form is:

18703 = 59¹ × 317¹

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 18703

List of positive integer factors of 18703 that divides 18684 without a remainder.

1, 59, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18684 and 18703. The biggest common factor number is the GCF number.
So the greatest common factor 18684 and 18703 is 1.

Also check out the Least Common Multiple of 18684 and 18703