What is the Greatest Common Factor of 4180 and 4191?

Greatest common factor (GCF) of 4180 and 4191 is 11.

GCF(4180,4191) = 11

We will now calculate the prime factors of 4180 and 4191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4180 and 4191.

How to find the GCF of 4180 and 4191?

We will first find the prime factorization of 4180 and 4191. After we will calculate the factors of 4180 and 4191 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4191

Prime factors of 4191 are 3, 11, 127. Prime factorization of 4191 in exponential form is:

4191 = 3¹ × 11¹ × 127¹

Step-3: Factors of 4180

List of positive integer factors of 4180 that divides 4180 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

Step-4: Factors of 4191

List of positive integer factors of 4191 that divides 4180 without a remainder.

1, 3, 11, 33, 127, 381, 1397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4180 and 4191. The biggest common factor number is the GCF number.
So the greatest common factor 4180 and 4191 is 11.

Also check out the Least Common Multiple of 4180 and 4191