What is the Greatest Common Factor of 4191 and 4209?

Greatest common factor (GCF) of 4191 and 4209 is 3.

GCF(4191,4209) = 3

We will now calculate the prime factors of 4191 and 4209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4191 and 4209.

How to find the GCF of 4191 and 4209?

We will first find the prime factorization of 4191 and 4209. After we will calculate the factors of 4191 and 4209 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4209

Prime factors of 4209 are 3, 23, 61. Prime factorization of 4209 in exponential form is:

4209 = 3¹ × 23¹ × 61¹

Step-3: Factors of 4191

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

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

Step-4: Factors of 4209

List of positive integer factors of 4209 that divides 4191 without a remainder.

1, 3, 23, 61, 69, 183, 1403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4191 and 4209. The biggest common factor number is the GCF number.
So the greatest common factor 4191 and 4209 is 3.

Also check out the Least Common Multiple of 4191 and 4209