What is the Greatest Common Factor of 6194 and 6213?

Greatest common factor (GCF) of 6194 and 6213 is 19.

GCF(6194,6213) = 19

We will now calculate the prime factors of 6194 and 6213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6194 and 6213.

How to find the GCF of 6194 and 6213?

We will first find the prime factorization of 6194 and 6213. After we will calculate the factors of 6194 and 6213 and find the biggest common factor number .

Step-1: Prime Factorization of 6194

Prime factors of 6194 are 2, 19, 163. Prime factorization of 6194 in exponential form is:

6194 = 2¹ × 19¹ × 163¹

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 6194

List of positive integer factors of 6194 that divides 6194 without a remainder.

1, 2, 19, 38, 163, 326, 3097

Step-4: Factors of 6213

List of positive integer factors of 6213 that divides 6194 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6194 and 6213. The biggest common factor number is the GCF number.
So the greatest common factor 6194 and 6213 is 19.

Also check out the Least Common Multiple of 6194 and 6213