What is the Greatest Common Factor of 40440 and 40458?

Greatest common factor (GCF) of 40440 and 40458 is 6.

GCF(40440,40458) = 6

We will now calculate the prime factors of 40440 and 40458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40440 and 40458.

How to find the GCF of 40440 and 40458?

We will first find the prime factorization of 40440 and 40458. After we will calculate the factors of 40440 and 40458 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 40458

Prime factors of 40458 are 2, 3, 11, 613. Prime factorization of 40458 in exponential form is:

40458 = 2¹ × 3¹ × 11¹ × 613¹

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 40458

List of positive integer factors of 40458 that divides 40440 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 613, 1226, 1839, 3678, 6743, 13486, 20229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40440 and 40458. The biggest common factor number is the GCF number.
So the greatest common factor 40440 and 40458 is 6.

Also check out the Least Common Multiple of 40440 and 40458