What is the Greatest Common Factor of 6193 and 6204?

Greatest common factor (GCF) of 6193 and 6204 is 11.

GCF(6193,6204) = 11

We will now calculate the prime factors of 6193 and 6204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6193 and 6204.

How to find the GCF of 6193 and 6204?

We will first find the prime factorization of 6193 and 6204. After we will calculate the factors of 6193 and 6204 and find the biggest common factor number .

Step-1: Prime Factorization of 6193

Prime factors of 6193 are 11, 563. Prime factorization of 6193 in exponential form is:

6193 = 11¹ × 563¹

Step-2: Prime Factorization of 6204

Prime factors of 6204 are 2, 3, 11, 47. Prime factorization of 6204 in exponential form is:

6204 = 2² × 3¹ × 11¹ × 47¹

Step-3: Factors of 6193

List of positive integer factors of 6193 that divides 6193 without a remainder.

1, 11, 563

Step-4: Factors of 6204

List of positive integer factors of 6204 that divides 6193 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6193 and 6204. The biggest common factor number is the GCF number.
So the greatest common factor 6193 and 6204 is 11.

Also check out the Least Common Multiple of 6193 and 6204