What is the Greatest Common Factor of 34194 and 34203?

Greatest common factor (GCF) of 34194 and 34203 is 3.

GCF(34194,34203) = 3

We will now calculate the prime factors of 34194 and 34203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34194 and 34203.

How to find the GCF of 34194 and 34203?

We will first find the prime factorization of 34194 and 34203. After we will calculate the factors of 34194 and 34203 and find the biggest common factor number .

Step-1: Prime Factorization of 34194

Prime factors of 34194 are 2, 3, 41, 139. Prime factorization of 34194 in exponential form is:

34194 = 2¹ × 3¹ × 41¹ × 139¹

Step-2: Prime Factorization of 34203

Prime factors of 34203 are 3, 13, 877. Prime factorization of 34203 in exponential form is:

34203 = 3¹ × 13¹ × 877¹

Step-3: Factors of 34194

List of positive integer factors of 34194 that divides 34194 without a remainder.

1, 2, 3, 6, 41, 82, 123, 139, 246, 278, 417, 834, 5699, 11398, 17097

Step-4: Factors of 34203

List of positive integer factors of 34203 that divides 34194 without a remainder.

1, 3, 13, 39, 877, 2631, 11401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34194 and 34203. The biggest common factor number is the GCF number.
So the greatest common factor 34194 and 34203 is 3.

Also check out the Least Common Multiple of 34194 and 34203