What is the Greatest Common Factor of 78064 and 78078?

Greatest common factor (GCF) of 78064 and 78078 is 14.

GCF(78064,78078) = 14

We will now calculate the prime factors of 78064 and 78078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78064 and 78078.

How to find the GCF of 78064 and 78078?

We will first find the prime factorization of 78064 and 78078. After we will calculate the factors of 78064 and 78078 and find the biggest common factor number .

Step-1: Prime Factorization of 78064

Prime factors of 78064 are 2, 7, 17, 41. Prime factorization of 78064 in exponential form is:

78064 = 2⁴ × 7¹ × 17¹ × 41¹

Step-2: 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-3: Factors of 78064

List of positive integer factors of 78064 that divides 78064 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 41, 56, 68, 82, 112, 119, 136, 164, 238, 272, 287, 328, 476, 574, 656, 697, 952, 1148, 1394, 1904, 2296, 2788, 4592, 4879, 5576, 9758, 11152, 19516, 39032

Step-4: Factors of 78078

List of positive integer factors of 78078 that divides 78064 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78064 and 78078. The biggest common factor number is the GCF number.
So the greatest common factor 78064 and 78078 is 14.

Also check out the Least Common Multiple of 78064 and 78078