What is the Greatest Common Factor of 14204 and 14211?

Greatest common factor (GCF) of 14204 and 14211 is 1.

GCF(14204,14211) = 1

We will now calculate the prime factors of 14204 and 14211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14204 and 14211.

How to find the GCF of 14204 and 14211?

We will first find the prime factorization of 14204 and 14211. After we will calculate the factors of 14204 and 14211 and find the biggest common factor number .

Step-1: Prime Factorization of 14204

Prime factors of 14204 are 2, 53, 67. Prime factorization of 14204 in exponential form is:

14204 = 2² × 53¹ × 67¹

Step-2: Prime Factorization of 14211

Prime factors of 14211 are 3, 1579. Prime factorization of 14211 in exponential form is:

14211 = 3² × 1579¹

Step-3: Factors of 14204

List of positive integer factors of 14204 that divides 14204 without a remainder.

1, 2, 4, 53, 67, 106, 134, 212, 268, 3551, 7102

Step-4: Factors of 14211

List of positive integer factors of 14211 that divides 14204 without a remainder.

1, 3, 9, 1579, 4737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14204 and 14211. The biggest common factor number is the GCF number.
So the greatest common factor 14204 and 14211 is 1.

Also check out the Least Common Multiple of 14204 and 14211