What is the Greatest Common Factor of 2172 and 2189?

Greatest common factor (GCF) of 2172 and 2189 is 1.

GCF(2172,2189) = 1

We will now calculate the prime factors of 2172 and 2189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2172 and 2189.

How to find the GCF of 2172 and 2189?

We will first find the prime factorization of 2172 and 2189. After we will calculate the factors of 2172 and 2189 and find the biggest common factor number .

Step-1: Prime Factorization of 2172

Prime factors of 2172 are 2, 3, 181. Prime factorization of 2172 in exponential form is:

2172 = 2² × 3¹ × 181¹

Step-2: Prime Factorization of 2189

Prime factors of 2189 are 11, 199. Prime factorization of 2189 in exponential form is:

2189 = 11¹ × 199¹

Step-3: Factors of 2172

List of positive integer factors of 2172 that divides 2172 without a remainder.

1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086

Step-4: Factors of 2189

List of positive integer factors of 2189 that divides 2172 without a remainder.

1, 11, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2172 and 2189. The biggest common factor number is the GCF number.
So the greatest common factor 2172 and 2189 is 1.

Also check out the Least Common Multiple of 2172 and 2189