What is the Greatest Common Factor of 40314 and 40332?

Greatest common factor (GCF) of 40314 and 40332 is 6.

GCF(40314,40332) = 6

We will now calculate the prime factors of 40314 and 40332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40314 and 40332.

How to find the GCF of 40314 and 40332?

We will first find the prime factorization of 40314 and 40332. After we will calculate the factors of 40314 and 40332 and find the biggest common factor number .

Step-1: Prime Factorization of 40314

Prime factors of 40314 are 2, 3, 6719. Prime factorization of 40314 in exponential form is:

40314 = 2¹ × 3¹ × 6719¹

Step-2: Prime Factorization of 40332

Prime factors of 40332 are 2, 3, 3361. Prime factorization of 40332 in exponential form is:

40332 = 2² × 3¹ × 3361¹

Step-3: Factors of 40314

List of positive integer factors of 40314 that divides 40314 without a remainder.

1, 2, 3, 6, 6719, 13438, 20157

Step-4: Factors of 40332

List of positive integer factors of 40332 that divides 40314 without a remainder.

1, 2, 3, 4, 6, 12, 3361, 6722, 10083, 13444, 20166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40314 and 40332. The biggest common factor number is the GCF number.
So the greatest common factor 40314 and 40332 is 6.

Also check out the Least Common Multiple of 40314 and 40332