What is the Greatest Common Factor of 6214 and 6229?

Greatest common factor (GCF) of 6214 and 6229 is 1.

GCF(6214,6229) = 1

We will now calculate the prime factors of 6214 and 6229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6214 and 6229.

How to find the GCF of 6214 and 6229?

We will first find the prime factorization of 6214 and 6229. After we will calculate the factors of 6214 and 6229 and find the biggest common factor number .

Step-1: Prime Factorization of 6214

Prime factors of 6214 are 2, 13, 239. Prime factorization of 6214 in exponential form is:

6214 = 2¹ × 13¹ × 239¹

Step-2: Prime Factorization of 6229

Prime factors of 6229 are 6229. Prime factorization of 6229 in exponential form is:

6229 = 6229¹

Step-3: Factors of 6214

List of positive integer factors of 6214 that divides 6214 without a remainder.

1, 2, 13, 26, 239, 478, 3107

Step-4: Factors of 6229

List of positive integer factors of 6229 that divides 6214 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6214 and 6229. The biggest common factor number is the GCF number.
So the greatest common factor 6214 and 6229 is 1.

Also check out the Least Common Multiple of 6214 and 6229