What is the Greatest Common Factor of 2184 and 2203?

Greatest common factor (GCF) of 2184 and 2203 is 1.

GCF(2184,2203) = 1

We will now calculate the prime factors of 2184 and 2203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2184 and 2203.

How to find the GCF of 2184 and 2203?

We will first find the prime factorization of 2184 and 2203. After we will calculate the factors of 2184 and 2203 and find the biggest common factor number .

Step-1: Prime Factorization of 2184

Prime factors of 2184 are 2, 3, 7, 13. Prime factorization of 2184 in exponential form is:

2184 = 2³ × 3¹ × 7¹ × 13¹

Step-2: Prime Factorization of 2203

Prime factors of 2203 are 2203. Prime factorization of 2203 in exponential form is:

2203 = 2203¹

Step-3: Factors of 2184

List of positive integer factors of 2184 that divides 2184 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 182, 273, 312, 364, 546, 728, 1092

Step-4: Factors of 2203

List of positive integer factors of 2203 that divides 2184 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2184 and 2203. The biggest common factor number is the GCF number.
So the greatest common factor 2184 and 2203 is 1.

Also check out the Least Common Multiple of 2184 and 2203