What is the Greatest Common Factor of 40431 and 40440?

Greatest common factor (GCF) of 40431 and 40440 is 3.

GCF(40431,40440) = 3

We will now calculate the prime factors of 40431 and 40440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40431 and 40440.

How to find the GCF of 40431 and 40440?

We will first find the prime factorization of 40431 and 40440. After we will calculate the factors of 40431 and 40440 and find the biggest common factor number .

Step-1: Prime Factorization of 40431

Prime factors of 40431 are 3, 13477. Prime factorization of 40431 in exponential form is:

40431 = 3¹ × 13477¹

Step-2: Prime Factorization of 40440

Prime factors of 40440 are 2, 3, 5, 337. Prime factorization of 40440 in exponential form is:

40440 = 2³ × 3¹ × 5¹ × 337¹

Step-3: Factors of 40431

List of positive integer factors of 40431 that divides 40431 without a remainder.

1, 3, 13477

Step-4: Factors of 40440

List of positive integer factors of 40440 that divides 40431 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 337, 674, 1011, 1348, 1685, 2022, 2696, 3370, 4044, 5055, 6740, 8088, 10110, 13480, 20220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40431 and 40440. The biggest common factor number is the GCF number.
So the greatest common factor 40431 and 40440 is 3.

Also check out the Least Common Multiple of 40431 and 40440