What is the Greatest Common Factor of 6213 and 6217?

Greatest common factor (GCF) of 6213 and 6217 is 1.

GCF(6213,6217) = 1

We will now calculate the prime factors of 6213 and 6217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6213 and 6217.

How to find the GCF of 6213 and 6217?

We will first find the prime factorization of 6213 and 6217. After we will calculate the factors of 6213 and 6217 and find the biggest common factor number .

Step-1: Prime Factorization of 6213

Prime factors of 6213 are 3, 19, 109. Prime factorization of 6213 in exponential form is:

6213 = 3¹ × 19¹ × 109¹

Step-2: Prime Factorization of 6217

Prime factors of 6217 are 6217. Prime factorization of 6217 in exponential form is:

6217 = 6217¹

Step-3: Factors of 6213

List of positive integer factors of 6213 that divides 6213 without a remainder.

1, 3, 19, 57, 109, 327, 2071

Step-4: Factors of 6217

List of positive integer factors of 6217 that divides 6213 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6213 and 6217. The biggest common factor number is the GCF number.
So the greatest common factor 6213 and 6217 is 1.

Also check out the Least Common Multiple of 6213 and 6217