What is the Greatest Common Factor of 74394 and 74406?

Greatest common factor (GCF) of 74394 and 74406 is 6.

GCF(74394,74406) = 6

We will now calculate the prime factors of 74394 and 74406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74394 and 74406.

How to find the GCF of 74394 and 74406?

We will first find the prime factorization of 74394 and 74406. After we will calculate the factors of 74394 and 74406 and find the biggest common factor number .

Step-1: Prime Factorization of 74394

Prime factors of 74394 are 2, 3, 4133. Prime factorization of 74394 in exponential form is:

74394 = 2¹ × 3² × 4133¹

Step-2: Prime Factorization of 74406

Prime factors of 74406 are 2, 3, 12401. Prime factorization of 74406 in exponential form is:

74406 = 2¹ × 3¹ × 12401¹

Step-3: Factors of 74394

List of positive integer factors of 74394 that divides 74394 without a remainder.

1, 2, 3, 6, 9, 18, 4133, 8266, 12399, 24798, 37197

Step-4: Factors of 74406

List of positive integer factors of 74406 that divides 74394 without a remainder.

1, 2, 3, 6, 12401, 24802, 37203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74394 and 74406. The biggest common factor number is the GCF number.
So the greatest common factor 74394 and 74406 is 6.

Also check out the Least Common Multiple of 74394 and 74406