What is the Greatest Common Factor of 78078 and 78096?

Greatest common factor (GCF) of 78078 and 78096 is 6.

GCF(78078,78096) = 6

We will now calculate the prime factors of 78078 and 78096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78078 and 78096.

How to find the GCF of 78078 and 78096?

We will first find the prime factorization of 78078 and 78096. After we will calculate the factors of 78078 and 78096 and find the biggest common factor number .

Step-1: Prime Factorization of 78078

Prime factors of 78078 are 2, 3, 7, 11, 13. Prime factorization of 78078 in exponential form is:

78078 = 2¹ × 3¹ × 7¹ × 11¹ × 13²

Step-2: 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-3: Factors of 78078

List of positive integer factors of 78078 that divides 78078 without a remainder.

1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 169, 182, 231, 273, 286, 338, 429, 462, 507, 546, 858, 1001, 1014, 1183, 1859, 2002, 2366, 3003, 3549, 3718, 5577, 6006, 7098, 11154, 13013, 26026, 39039

Step-4: Factors of 78096

List of positive integer factors of 78096 that divides 78078 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78078 and 78096. The biggest common factor number is the GCF number.
So the greatest common factor 78078 and 78096 is 6.

Also check out the Least Common Multiple of 78078 and 78096