What is the Greatest Common Factor of 2170 and 2186?

Greatest common factor (GCF) of 2170 and 2186 is 2.

GCF(2170,2186) = 2

We will now calculate the prime factors of 2170 and 2186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2170 and 2186.

How to find the GCF of 2170 and 2186?

We will first find the prime factorization of 2170 and 2186. After we will calculate the factors of 2170 and 2186 and find the biggest common factor number .

Step-1: Prime Factorization of 2170

Prime factors of 2170 are 2, 5, 7, 31. Prime factorization of 2170 in exponential form is:

2170 = 2¹ × 5¹ × 7¹ × 31¹

Step-2: Prime Factorization of 2186

Prime factors of 2186 are 2, 1093. Prime factorization of 2186 in exponential form is:

2186 = 2¹ × 1093¹

Step-3: Factors of 2170

List of positive integer factors of 2170 that divides 2170 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085

Step-4: Factors of 2186

List of positive integer factors of 2186 that divides 2170 without a remainder.

1, 2, 1093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2170 and 2186. The biggest common factor number is the GCF number.
So the greatest common factor 2170 and 2186 is 2.

Also check out the Least Common Multiple of 2170 and 2186