What is the Greatest Common Factor of 40491 and 40497?

Greatest common factor (GCF) of 40491 and 40497 is 3.

GCF(40491,40497) = 3

We will now calculate the prime factors of 40491 and 40497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40491 and 40497.

How to find the GCF of 40491 and 40497?

We will first find the prime factorization of 40491 and 40497. After we will calculate the factors of 40491 and 40497 and find the biggest common factor number .

Step-1: Prime Factorization of 40491

Prime factors of 40491 are 3, 11, 409. Prime factorization of 40491 in exponential form is:

40491 = 3² × 11¹ × 409¹

Step-2: Prime Factorization of 40497

Prime factors of 40497 are 3, 13499. Prime factorization of 40497 in exponential form is:

40497 = 3¹ × 13499¹

Step-3: Factors of 40491

List of positive integer factors of 40491 that divides 40491 without a remainder.

1, 3, 9, 11, 33, 99, 409, 1227, 3681, 4499, 13497

Step-4: Factors of 40497

List of positive integer factors of 40497 that divides 40491 without a remainder.

1, 3, 13499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40491 and 40497. The biggest common factor number is the GCF number.
So the greatest common factor 40491 and 40497 is 3.

Also check out the Least Common Multiple of 40491 and 40497