What is the Greatest Common Factor of 7794 and 7809?

Greatest common factor (GCF) of 7794 and 7809 is 3.

GCF(7794,7809) = 3

We will now calculate the prime factors of 7794 and 7809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7794 and 7809.

How to find the GCF of 7794 and 7809?

We will first find the prime factorization of 7794 and 7809. After we will calculate the factors of 7794 and 7809 and find the biggest common factor number .

Step-1: Prime Factorization of 7794

Prime factors of 7794 are 2, 3, 433. Prime factorization of 7794 in exponential form is:

7794 = 2¹ × 3² × 433¹

Step-2: Prime Factorization of 7809

Prime factors of 7809 are 3, 19, 137. Prime factorization of 7809 in exponential form is:

7809 = 3¹ × 19¹ × 137¹

Step-3: Factors of 7794

List of positive integer factors of 7794 that divides 7794 without a remainder.

1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897

Step-4: Factors of 7809

List of positive integer factors of 7809 that divides 7794 without a remainder.

1, 3, 19, 57, 137, 411, 2603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7794 and 7809. The biggest common factor number is the GCF number.
So the greatest common factor 7794 and 7809 is 3.

Also check out the Least Common Multiple of 7794 and 7809