What is the Greatest Common Factor of 40494 and 40509?

Greatest common factor (GCF) of 40494 and 40509 is 3.

GCF(40494,40509) = 3

We will now calculate the prime factors of 40494 and 40509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40494 and 40509.

How to find the GCF of 40494 and 40509?

We will first find the prime factorization of 40494 and 40509. After we will calculate the factors of 40494 and 40509 and find the biggest common factor number .

Step-1: Prime Factorization of 40494

Prime factors of 40494 are 2, 3, 17, 397. Prime factorization of 40494 in exponential form is:

40494 = 2¹ × 3¹ × 17¹ × 397¹

Step-2: Prime Factorization of 40509

Prime factors of 40509 are 3, 7, 643. Prime factorization of 40509 in exponential form is:

40509 = 3² × 7¹ × 643¹

Step-3: Factors of 40494

List of positive integer factors of 40494 that divides 40494 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 397, 794, 1191, 2382, 6749, 13498, 20247

Step-4: Factors of 40509

List of positive integer factors of 40509 that divides 40494 without a remainder.

1, 3, 7, 9, 21, 63, 643, 1929, 4501, 5787, 13503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40494 and 40509. The biggest common factor number is the GCF number.
So the greatest common factor 40494 and 40509 is 3.

Also check out the Least Common Multiple of 40494 and 40509