What is the Greatest Common Factor of 40458 and 40476?

Greatest common factor (GCF) of 40458 and 40476 is 6.

GCF(40458,40476) = 6

We will now calculate the prime factors of 40458 and 40476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40458 and 40476.

How to find the GCF of 40458 and 40476?

We will first find the prime factorization of 40458 and 40476. After we will calculate the factors of 40458 and 40476 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40476

Prime factors of 40476 are 2, 3, 3373. Prime factorization of 40476 in exponential form is:

40476 = 2² × 3¹ × 3373¹

Step-3: Factors of 40458

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

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

Step-4: Factors of 40476

List of positive integer factors of 40476 that divides 40458 without a remainder.

1, 2, 3, 4, 6, 12, 3373, 6746, 10119, 13492, 20238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40458 and 40476. The biggest common factor number is the GCF number.
So the greatest common factor 40458 and 40476 is 6.

Also check out the Least Common Multiple of 40458 and 40476