What is the Greatest Common Factor of 88794 and 88809?

Greatest common factor (GCF) of 88794 and 88809 is 3.

GCF(88794,88809) = 3

We will now calculate the prime factors of 88794 and 88809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88794 and 88809.

How to find the GCF of 88794 and 88809?

We will first find the prime factorization of 88794 and 88809. After we will calculate the factors of 88794 and 88809 and find the biggest common factor number .

Step-1: Prime Factorization of 88794

Prime factors of 88794 are 2, 3, 4933. Prime factorization of 88794 in exponential form is:

88794 = 2¹ × 3² × 4933¹

Step-2: Prime Factorization of 88809

Prime factors of 88809 are 3, 7, 4229. Prime factorization of 88809 in exponential form is:

88809 = 3¹ × 7¹ × 4229¹

Step-3: Factors of 88794

List of positive integer factors of 88794 that divides 88794 without a remainder.

1, 2, 3, 6, 9, 18, 4933, 9866, 14799, 29598, 44397

Step-4: Factors of 88809

List of positive integer factors of 88809 that divides 88794 without a remainder.

1, 3, 7, 21, 4229, 12687, 29603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88794 and 88809. The biggest common factor number is the GCF number.
So the greatest common factor 88794 and 88809 is 3.

Also check out the Least Common Multiple of 88794 and 88809