What is the Greatest Common Factor of 78096 and 78105?

Greatest common factor (GCF) of 78096 and 78105 is 3.

GCF(78096,78105) = 3

We will now calculate the prime factors of 78096 and 78105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78096 and 78105.

How to find the GCF of 78096 and 78105?

We will first find the prime factorization of 78096 and 78105. After we will calculate the factors of 78096 and 78105 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 78105

Prime factors of 78105 are 3, 5, 41, 127. Prime factorization of 78105 in exponential form is:

78105 = 3¹ × 5¹ × 41¹ × 127¹

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 78105

List of positive integer factors of 78105 that divides 78096 without a remainder.

1, 3, 5, 15, 41, 123, 127, 205, 381, 615, 635, 1905, 5207, 15621, 26035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78096 and 78105. The biggest common factor number is the GCF number.
So the greatest common factor 78096 and 78105 is 3.

Also check out the Least Common Multiple of 78096 and 78105