What is the Greatest Common Factor of 40794 and 40809?

Greatest common factor (GCF) of 40794 and 40809 is 3.

GCF(40794,40809) = 3

We will now calculate the prime factors of 40794 and 40809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40794 and 40809.

How to find the GCF of 40794 and 40809?

We will first find the prime factorization of 40794 and 40809. After we will calculate the factors of 40794 and 40809 and find the biggest common factor number .

Step-1: Prime Factorization of 40794

Prime factors of 40794 are 2, 3, 13, 523. Prime factorization of 40794 in exponential form is:

40794 = 2¹ × 3¹ × 13¹ × 523¹

Step-2: Prime Factorization of 40809

Prime factors of 40809 are 3, 61, 223. Prime factorization of 40809 in exponential form is:

40809 = 3¹ × 61¹ × 223¹

Step-3: Factors of 40794

List of positive integer factors of 40794 that divides 40794 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 523, 1046, 1569, 3138, 6799, 13598, 20397

Step-4: Factors of 40809

List of positive integer factors of 40809 that divides 40794 without a remainder.

1, 3, 61, 183, 223, 669, 13603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40794 and 40809. The biggest common factor number is the GCF number.
So the greatest common factor 40794 and 40809 is 3.

Also check out the Least Common Multiple of 40794 and 40809