What is the Greatest Common Factor of 4209 and 4229?

Greatest common factor (GCF) of 4209 and 4229 is 1.

GCF(4209,4229) = 1

We will now calculate the prime factors of 4209 and 4229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4209 and 4229.

How to find the GCF of 4209 and 4229?

We will first find the prime factorization of 4209 and 4229. After we will calculate the factors of 4209 and 4229 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4229

Prime factors of 4229 are 4229. Prime factorization of 4229 in exponential form is:

4229 = 4229¹

Step-3: Factors of 4209

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

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

Step-4: Factors of 4229

List of positive integer factors of 4229 that divides 4209 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4209 and 4229. The biggest common factor number is the GCF number.
So the greatest common factor 4209 and 4229 is 1.

Also check out the Least Common Multiple of 4209 and 4229