What is the Greatest Common Factor of 40440 and 40456?

Greatest common factor (GCF) of 40440 and 40456 is 8.

GCF(40440,40456) = 8

We will now calculate the prime factors of 40440 and 40456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40440 and 40456.

How to find the GCF of 40440 and 40456?

We will first find the prime factorization of 40440 and 40456. After we will calculate the factors of 40440 and 40456 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 40456

Prime factors of 40456 are 2, 13, 389. Prime factorization of 40456 in exponential form is:

40456 = 2³ × 13¹ × 389¹

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 40456

List of positive integer factors of 40456 that divides 40440 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 389, 778, 1556, 3112, 5057, 10114, 20228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40440 and 40456. The biggest common factor number is the GCF number.
So the greatest common factor 40440 and 40456 is 8.

Also check out the Least Common Multiple of 40440 and 40456