What is the Greatest Common Factor of 40344 and 40350?

Greatest common factor (GCF) of 40344 and 40350 is 6.

GCF(40344,40350) = 6

We will now calculate the prime factors of 40344 and 40350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40344 and 40350.

How to find the GCF of 40344 and 40350?

We will first find the prime factorization of 40344 and 40350. After we will calculate the factors of 40344 and 40350 and find the biggest common factor number .

Step-1: Prime Factorization of 40344

Prime factors of 40344 are 2, 3, 41. Prime factorization of 40344 in exponential form is:

40344 = 2³ × 3¹ × 41²

Step-2: Prime Factorization of 40350

Prime factors of 40350 are 2, 3, 5, 269. Prime factorization of 40350 in exponential form is:

40350 = 2¹ × 3¹ × 5² × 269¹

Step-3: Factors of 40344

List of positive integer factors of 40344 that divides 40344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984, 1681, 3362, 5043, 6724, 10086, 13448, 20172

Step-4: Factors of 40350

List of positive integer factors of 40350 that divides 40344 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 269, 538, 807, 1345, 1614, 2690, 4035, 6725, 8070, 13450, 20175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40344 and 40350. The biggest common factor number is the GCF number.
So the greatest common factor 40344 and 40350 is 6.

Also check out the Least Common Multiple of 40344 and 40350