What is the Greatest Common Factor of 40344 and 40349?

Greatest common factor (GCF) of 40344 and 40349 is 1.

GCF(40344,40349) = 1

We will now calculate the prime factors of 40344 and 40349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40344 and 40349.

How to find the GCF of 40344 and 40349?

We will first find the prime factorization of 40344 and 40349. After we will calculate the factors of 40344 and 40349 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 40349

Prime factors of 40349 are 157, 257. Prime factorization of 40349 in exponential form is:

40349 = 157¹ × 257¹

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 40349

List of positive integer factors of 40349 that divides 40344 without a remainder.

1, 157, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40344 and 40349. The biggest common factor number is the GCF number.
So the greatest common factor 40344 and 40349 is 1.

Also check out the Least Common Multiple of 40344 and 40349