What is the Greatest Common Factor of 2171 and 2185?

Greatest common factor (GCF) of 2171 and 2185 is 1.

GCF(2171,2185) = 1

We will now calculate the prime factors of 2171 and 2185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2171 and 2185.

How to find the GCF of 2171 and 2185?

We will first find the prime factorization of 2171 and 2185. After we will calculate the factors of 2171 and 2185 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 2185

Prime factors of 2185 are 5, 19, 23. Prime factorization of 2185 in exponential form is:

2185 = 5¹ × 19¹ × 23¹

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 2185

List of positive integer factors of 2185 that divides 2171 without a remainder.

1, 5, 19, 23, 95, 115, 437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2171 and 2185. The biggest common factor number is the GCF number.
So the greatest common factor 2171 and 2185 is 1.

Also check out the Least Common Multiple of 2171 and 2185