What is the Greatest Common Factor of 78078 and 78084?

Greatest common factor (GCF) of 78078 and 78084 is 6.

GCF(78078,78084) = 6

We will now calculate the prime factors of 78078 and 78084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78078 and 78084.

How to find the GCF of 78078 and 78084?

We will first find the prime factorization of 78078 and 78084. After we will calculate the factors of 78078 and 78084 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 78084

Prime factors of 78084 are 2, 3, 241. Prime factorization of 78084 in exponential form is:

78084 = 2² × 3⁴ × 241¹

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 78084

List of positive integer factors of 78084 that divides 78078 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 241, 324, 482, 723, 964, 1446, 2169, 2892, 4338, 6507, 8676, 13014, 19521, 26028, 39042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78078 and 78084. The biggest common factor number is the GCF number.
So the greatest common factor 78078 and 78084 is 6.

Also check out the Least Common Multiple of 78078 and 78084