What is the Greatest Common Factor of 4174 and 4180?

Greatest common factor (GCF) of 4174 and 4180 is 2.

GCF(4174,4180) = 2

We will now calculate the prime factors of 4174 and 4180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4174 and 4180.

How to find the GCF of 4174 and 4180?

We will first find the prime factorization of 4174 and 4180. After we will calculate the factors of 4174 and 4180 and find the biggest common factor number .

Step-1: Prime Factorization of 4174

Prime factors of 4174 are 2, 2087. Prime factorization of 4174 in exponential form is:

4174 = 2¹ × 2087¹

Step-2: Prime Factorization of 4180

Prime factors of 4180 are 2, 5, 11, 19. Prime factorization of 4180 in exponential form is:

4180 = 2² × 5¹ × 11¹ × 19¹

Step-3: Factors of 4174

List of positive integer factors of 4174 that divides 4174 without a remainder.

1, 2, 2087

Step-4: Factors of 4180

List of positive integer factors of 4180 that divides 4174 without a remainder.

1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4174 and 4180. The biggest common factor number is the GCF number.
So the greatest common factor 4174 and 4180 is 2.

Also check out the Least Common Multiple of 4174 and 4180