What is the Greatest Common Factor of 78027 and 78039?

Greatest common factor (GCF) of 78027 and 78039 is 3.

GCF(78027,78039) = 3

We will now calculate the prime factors of 78027 and 78039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78027 and 78039.

How to find the GCF of 78027 and 78039?

We will first find the prime factorization of 78027 and 78039. After we will calculate the factors of 78027 and 78039 and find the biggest common factor number .

Step-1: Prime Factorization of 78027

Prime factors of 78027 are 3, 31, 839. Prime factorization of 78027 in exponential form is:

78027 = 3¹ × 31¹ × 839¹

Step-2: Prime Factorization of 78039

Prime factors of 78039 are 3, 13, 23, 29. Prime factorization of 78039 in exponential form is:

78039 = 3² × 13¹ × 23¹ × 29¹

Step-3: Factors of 78027

List of positive integer factors of 78027 that divides 78027 without a remainder.

1, 3, 31, 93, 839, 2517, 26009

Step-4: Factors of 78039

List of positive integer factors of 78039 that divides 78027 without a remainder.

1, 3, 9, 13, 23, 29, 39, 69, 87, 117, 207, 261, 299, 377, 667, 897, 1131, 2001, 2691, 3393, 6003, 8671, 26013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78027 and 78039. The biggest common factor number is the GCF number.
So the greatest common factor 78027 and 78039 is 3.

Also check out the Least Common Multiple of 78027 and 78039