What is the Greatest Common Factor of 2174 and 2182?

Greatest common factor (GCF) of 2174 and 2182 is 2.

GCF(2174,2182) = 2

We will now calculate the prime factors of 2174 and 2182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2174 and 2182.

How to find the GCF of 2174 and 2182?

We will first find the prime factorization of 2174 and 2182. After we will calculate the factors of 2174 and 2182 and find the biggest common factor number .

Step-1: Prime Factorization of 2174

Prime factors of 2174 are 2, 1087. Prime factorization of 2174 in exponential form is:

2174 = 2¹ × 1087¹

Step-2: Prime Factorization of 2182

Prime factors of 2182 are 2, 1091. Prime factorization of 2182 in exponential form is:

2182 = 2¹ × 1091¹

Step-3: Factors of 2174

List of positive integer factors of 2174 that divides 2174 without a remainder.

1, 2, 1087

Step-4: Factors of 2182

List of positive integer factors of 2182 that divides 2174 without a remainder.

1, 2, 1091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2174 and 2182. The biggest common factor number is the GCF number.
So the greatest common factor 2174 and 2182 is 2.

Also check out the Least Common Multiple of 2174 and 2182