What is the Greatest Common Factor of 79893 and 79899?

Greatest common factor (GCF) of 79893 and 79899 is 3.

GCF(79893,79899) = 3

We will now calculate the prime factors of 79893 and 79899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79893 and 79899.

How to find the GCF of 79893 and 79899?

We will first find the prime factorization of 79893 and 79899. After we will calculate the factors of 79893 and 79899 and find the biggest common factor number .

Step-1: Prime Factorization of 79893

Prime factors of 79893 are 3, 11, 269. Prime factorization of 79893 in exponential form is:

79893 = 3³ × 11¹ × 269¹

Step-2: Prime Factorization of 79899

Prime factors of 79899 are 3, 26633. Prime factorization of 79899 in exponential form is:

79899 = 3¹ × 26633¹

Step-3: Factors of 79893

List of positive integer factors of 79893 that divides 79893 without a remainder.

1, 3, 9, 11, 27, 33, 99, 269, 297, 807, 2421, 2959, 7263, 8877, 26631

Step-4: Factors of 79899

List of positive integer factors of 79899 that divides 79893 without a remainder.

1, 3, 26633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79893 and 79899. The biggest common factor number is the GCF number.
So the greatest common factor 79893 and 79899 is 3.

Also check out the Least Common Multiple of 79893 and 79899