What is the Greatest Common Factor of 40440 and 40449?

Greatest common factor (GCF) of 40440 and 40449 is 3.

GCF(40440,40449) = 3

We will now calculate the prime factors of 40440 and 40449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40440 and 40449.

How to find the GCF of 40440 and 40449?

We will first find the prime factorization of 40440 and 40449. After we will calculate the factors of 40440 and 40449 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40449

Prime factors of 40449 are 3, 97, 139. Prime factorization of 40449 in exponential form is:

40449 = 3¹ × 97¹ × 139¹

Step-3: Factors of 40440

List of positive integer factors of 40440 that divides 40440 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

Step-4: Factors of 40449

List of positive integer factors of 40449 that divides 40440 without a remainder.

1, 3, 97, 139, 291, 417, 13483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40440 and 40449. The biggest common factor number is the GCF number.
So the greatest common factor 40440 and 40449 is 3.

Also check out the Least Common Multiple of 40440 and 40449