What is the Greatest Common Factor of 6214 and 6219?

Greatest common factor (GCF) of 6214 and 6219 is 1.

GCF(6214,6219) = 1

We will now calculate the prime factors of 6214 and 6219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6214 and 6219.

How to find the GCF of 6214 and 6219?

We will first find the prime factorization of 6214 and 6219. After we will calculate the factors of 6214 and 6219 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 6219

Prime factors of 6219 are 3, 691. Prime factorization of 6219 in exponential form is:

6219 = 3² × 691¹

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 6219

List of positive integer factors of 6219 that divides 6214 without a remainder.

1, 3, 9, 691, 2073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6214 and 6219. The biggest common factor number is the GCF number.
So the greatest common factor 6214 and 6219 is 1.

Also check out the Least Common Multiple of 6214 and 6219