What is the Greatest Common Factor of 6205 and 6213?

Greatest common factor (GCF) of 6205 and 6213 is 1.

GCF(6205,6213) = 1

We will now calculate the prime factors of 6205 and 6213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6205 and 6213.

How to find the GCF of 6205 and 6213?

We will first find the prime factorization of 6205 and 6213. After we will calculate the factors of 6205 and 6213 and find the biggest common factor number .

Step-1: Prime Factorization of 6205

Prime factors of 6205 are 5, 17, 73. Prime factorization of 6205 in exponential form is:

6205 = 5¹ × 17¹ × 73¹

Step-2: 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-3: Factors of 6205

List of positive integer factors of 6205 that divides 6205 without a remainder.

1, 5, 17, 73, 85, 365, 1241

Step-4: Factors of 6213

List of positive integer factors of 6213 that divides 6205 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6205 and 6213. The biggest common factor number is the GCF number.
So the greatest common factor 6205 and 6213 is 1.

Also check out the Least Common Multiple of 6205 and 6213