What is the Greatest Common Factor of 2158 and 2171?

Greatest common factor (GCF) of 2158 and 2171 is 13.

GCF(2158,2171) = 13

We will now calculate the prime factors of 2158 and 2171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2158 and 2171.

How to find the GCF of 2158 and 2171?

We will first find the prime factorization of 2158 and 2171. After we will calculate the factors of 2158 and 2171 and find the biggest common factor number .

Step-1: Prime Factorization of 2158

Prime factors of 2158 are 2, 13, 83. Prime factorization of 2158 in exponential form is:

2158 = 2¹ × 13¹ × 83¹

Step-2: Prime Factorization of 2171

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

2171 = 13¹ × 167¹

Step-3: Factors of 2158

List of positive integer factors of 2158 that divides 2158 without a remainder.

1, 2, 13, 26, 83, 166, 1079

Step-4: Factors of 2171

List of positive integer factors of 2171 that divides 2158 without a remainder.

1, 13, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2158 and 2171. The biggest common factor number is the GCF number.
So the greatest common factor 2158 and 2171 is 13.

Also check out the Least Common Multiple of 2158 and 2171