What is the Greatest Common Factor of 40458 and 40473?

Greatest common factor (GCF) of 40458 and 40473 is 3.

GCF(40458,40473) = 3

We will now calculate the prime factors of 40458 and 40473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40458 and 40473.

How to find the GCF of 40458 and 40473?

We will first find the prime factorization of 40458 and 40473. After we will calculate the factors of 40458 and 40473 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 40473

Prime factors of 40473 are 3, 1499. Prime factorization of 40473 in exponential form is:

40473 = 3³ × 1499¹

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 40473

List of positive integer factors of 40473 that divides 40458 without a remainder.

1, 3, 9, 27, 1499, 4497, 13491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40458 and 40473. The biggest common factor number is the GCF number.
So the greatest common factor 40458 and 40473 is 3.

Also check out the Least Common Multiple of 40458 and 40473