What is the Greatest Common Factor of 78096 and 78111?

Greatest common factor (GCF) of 78096 and 78111 is 3.

GCF(78096,78111) = 3

We will now calculate the prime factors of 78096 and 78111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78096 and 78111.

How to find the GCF of 78096 and 78111?

We will first find the prime factorization of 78096 and 78111. After we will calculate the factors of 78096 and 78111 and find the biggest common factor number .

Step-1: Prime Factorization of 78096

Prime factors of 78096 are 2, 3, 1627. Prime factorization of 78096 in exponential form is:

78096 = 2⁴ × 3¹ × 1627¹

Step-2: Prime Factorization of 78111

Prime factors of 78111 are 3, 11, 263. Prime factorization of 78111 in exponential form is:

78111 = 3³ × 11¹ × 263¹

Step-3: Factors of 78096

List of positive integer factors of 78096 that divides 78096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1627, 3254, 4881, 6508, 9762, 13016, 19524, 26032, 39048

Step-4: Factors of 78111

List of positive integer factors of 78111 that divides 78096 without a remainder.

1, 3, 9, 11, 27, 33, 99, 263, 297, 789, 2367, 2893, 7101, 8679, 26037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78096 and 78111. The biggest common factor number is the GCF number.
So the greatest common factor 78096 and 78111 is 3.

Also check out the Least Common Multiple of 78096 and 78111