What is the Greatest Common Factor of 40809 and 40815?

Greatest common factor (GCF) of 40809 and 40815 is 3.

GCF(40809,40815) = 3

We will now calculate the prime factors of 40809 and 40815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40809 and 40815.

How to find the GCF of 40809 and 40815?

We will first find the prime factorization of 40809 and 40815. After we will calculate the factors of 40809 and 40815 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40815

Prime factors of 40815 are 3, 5, 907. Prime factorization of 40815 in exponential form is:

40815 = 3² × 5¹ × 907¹

Step-3: Factors of 40809

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

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

Step-4: Factors of 40815

List of positive integer factors of 40815 that divides 40809 without a remainder.

1, 3, 5, 9, 15, 45, 907, 2721, 4535, 8163, 13605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40809 and 40815. The biggest common factor number is the GCF number.
So the greatest common factor 40809 and 40815 is 3.

Also check out the Least Common Multiple of 40809 and 40815