What is the Greatest Common Factor of 2171 and 2188?

Greatest common factor (GCF) of 2171 and 2188 is 1.

GCF(2171,2188) = 1

We will now calculate the prime factors of 2171 and 2188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2171 and 2188.

How to find the GCF of 2171 and 2188?

We will first find the prime factorization of 2171 and 2188. After we will calculate the factors of 2171 and 2188 and find the biggest common factor number .

Step-1: Prime Factorization of 2171

Prime factors of 2171 are 13, 167. Prime factorization of 2171 in exponential form is:

2171 = 13¹ × 167¹

Step-2: Prime Factorization of 2188

Prime factors of 2188 are 2, 547. Prime factorization of 2188 in exponential form is:

2188 = 2² × 547¹

Step-3: Factors of 2171

List of positive integer factors of 2171 that divides 2171 without a remainder.

1, 13, 167

Step-4: Factors of 2188

List of positive integer factors of 2188 that divides 2171 without a remainder.

1, 2, 4, 547, 1094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2171 and 2188. The biggest common factor number is the GCF number.
So the greatest common factor 2171 and 2188 is 1.

Also check out the Least Common Multiple of 2171 and 2188