What is the Greatest Common Factor of 78093 and 78108?

Greatest common factor (GCF) of 78093 and 78108 is 3.

GCF(78093,78108) = 3

We will now calculate the prime factors of 78093 and 78108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78093 and 78108.

How to find the GCF of 78093 and 78108?

We will first find the prime factorization of 78093 and 78108. After we will calculate the factors of 78093 and 78108 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 78108

Prime factors of 78108 are 2, 3, 23, 283. Prime factorization of 78108 in exponential form is:

78108 = 2² × 3¹ × 23¹ × 283¹

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 78108

List of positive integer factors of 78108 that divides 78093 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 283, 566, 849, 1132, 1698, 3396, 6509, 13018, 19527, 26036, 39054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78093 and 78108. The biggest common factor number is the GCF number.
So the greatest common factor 78093 and 78108 is 3.

Also check out the Least Common Multiple of 78093 and 78108