What is the Greatest Common Factor of 78093 and 78099?

Greatest common factor (GCF) of 78093 and 78099 is 3.

GCF(78093,78099) = 3

We will now calculate the prime factors of 78093 and 78099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78093 and 78099.

How to find the GCF of 78093 and 78099?

We will first find the prime factorization of 78093 and 78099. After we will calculate the factors of 78093 and 78099 and find the biggest common factor number .

Step-1: Prime Factorization of 78093

Prime factors of 78093 are 3, 8677. Prime factorization of 78093 in exponential form is:

78093 = 3² × 8677¹

Step-2: Prime Factorization of 78099

Prime factors of 78099 are 3, 7, 3719. Prime factorization of 78099 in exponential form is:

78099 = 3¹ × 7¹ × 3719¹

Step-3: Factors of 78093

List of positive integer factors of 78093 that divides 78093 without a remainder.

1, 3, 9, 8677, 26031

Step-4: Factors of 78099

List of positive integer factors of 78099 that divides 78093 without a remainder.

1, 3, 7, 21, 3719, 11157, 26033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78093 and 78099. The biggest common factor number is the GCF number.
So the greatest common factor 78093 and 78099 is 3.

Also check out the Least Common Multiple of 78093 and 78099