What is the Greatest Common Factor of 6213 and 6232?

Greatest common factor (GCF) of 6213 and 6232 is 19.

GCF(6213,6232) = 19

We will now calculate the prime factors of 6213 and 6232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6213 and 6232.

How to find the GCF of 6213 and 6232?

We will first find the prime factorization of 6213 and 6232. After we will calculate the factors of 6213 and 6232 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 6232

Prime factors of 6232 are 2, 19, 41. Prime factorization of 6232 in exponential form is:

6232 = 2³ × 19¹ × 41¹

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 6232

List of positive integer factors of 6232 that divides 6213 without a remainder.

1, 2, 4, 8, 19, 38, 41, 76, 82, 152, 164, 328, 779, 1558, 3116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6213 and 6232. The biggest common factor number is the GCF number.
So the greatest common factor 6213 and 6232 is 19.

Also check out the Least Common Multiple of 6213 and 6232