What is the Greatest Common Factor of 28193 and 28204?

Greatest common factor (GCF) of 28193 and 28204 is 11.

GCF(28193,28204) = 11

We will now calculate the prime factors of 28193 and 28204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28193 and 28204.

How to find the GCF of 28193 and 28204?

We will first find the prime factorization of 28193 and 28204. After we will calculate the factors of 28193 and 28204 and find the biggest common factor number .

Step-1: Prime Factorization of 28193

Prime factors of 28193 are 11, 233. Prime factorization of 28193 in exponential form is:

28193 = 11² × 233¹

Step-2: Prime Factorization of 28204

Prime factors of 28204 are 2, 11, 641. Prime factorization of 28204 in exponential form is:

28204 = 2² × 11¹ × 641¹

Step-3: Factors of 28193

List of positive integer factors of 28193 that divides 28193 without a remainder.

1, 11, 121, 233, 2563

Step-4: Factors of 28204

List of positive integer factors of 28204 that divides 28193 without a remainder.

1, 2, 4, 11, 22, 44, 641, 1282, 2564, 7051, 14102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28193 and 28204. The biggest common factor number is the GCF number.
So the greatest common factor 28193 and 28204 is 11.

Also check out the Least Common Multiple of 28193 and 28204