What is the Greatest Common Factor of 4194 and 4203?

Greatest common factor (GCF) of 4194 and 4203 is 9.

GCF(4194,4203) = 9

We will now calculate the prime factors of 4194 and 4203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4194 and 4203.

How to find the GCF of 4194 and 4203?

We will first find the prime factorization of 4194 and 4203. After we will calculate the factors of 4194 and 4203 and find the biggest common factor number .

Step-1: Prime Factorization of 4194

Prime factors of 4194 are 2, 3, 233. Prime factorization of 4194 in exponential form is:

4194 = 2¹ × 3² × 233¹

Step-2: Prime Factorization of 4203

Prime factors of 4203 are 3, 467. Prime factorization of 4203 in exponential form is:

4203 = 3² × 467¹

Step-3: Factors of 4194

List of positive integer factors of 4194 that divides 4194 without a remainder.

1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097

Step-4: Factors of 4203

List of positive integer factors of 4203 that divides 4194 without a remainder.

1, 3, 9, 467, 1401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4194 and 4203. The biggest common factor number is the GCF number.
So the greatest common factor 4194 and 4203 is 9.

Also check out the Least Common Multiple of 4194 and 4203