What is the Greatest Common Factor of 79794 and 79809?

Greatest common factor (GCF) of 79794 and 79809 is 3.

GCF(79794,79809) = 3

We will now calculate the prime factors of 79794 and 79809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79794 and 79809.

How to find the GCF of 79794 and 79809?

We will first find the prime factorization of 79794 and 79809. After we will calculate the factors of 79794 and 79809 and find the biggest common factor number .

Step-1: Prime Factorization of 79794

Prime factors of 79794 are 2, 3, 11, 13, 31. Prime factorization of 79794 in exponential form is:

79794 = 2¹ × 3² × 11¹ × 13¹ × 31¹

Step-2: Prime Factorization of 79809

Prime factors of 79809 are 3, 37, 719. Prime factorization of 79809 in exponential form is:

79809 = 3¹ × 37¹ × 719¹

Step-3: Factors of 79794

List of positive integer factors of 79794 that divides 79794 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 31, 33, 39, 62, 66, 78, 93, 99, 117, 143, 186, 198, 234, 279, 286, 341, 403, 429, 558, 682, 806, 858, 1023, 1209, 1287, 2046, 2418, 2574, 3069, 3627, 4433, 6138, 7254, 8866, 13299, 26598, 39897

Step-4: Factors of 79809

List of positive integer factors of 79809 that divides 79794 without a remainder.

1, 3, 37, 111, 719, 2157, 26603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79794 and 79809. The biggest common factor number is the GCF number.
So the greatest common factor 79794 and 79809 is 3.

Also check out the Least Common Multiple of 79794 and 79809