What is the Greatest Common Factor of 78064 and 78081?

Greatest common factor (GCF) of 78064 and 78081 is 17.

GCF(78064,78081) = 17

We will now calculate the prime factors of 78064 and 78081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78064 and 78081.

How to find the GCF of 78064 and 78081?

We will first find the prime factorization of 78064 and 78081. After we will calculate the factors of 78064 and 78081 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 78081

Prime factors of 78081 are 3, 17, 1531. Prime factorization of 78081 in exponential form is:

78081 = 3¹ × 17¹ × 1531¹

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 78081

List of positive integer factors of 78081 that divides 78064 without a remainder.

1, 3, 17, 51, 1531, 4593, 26027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78064 and 78081. The biggest common factor number is the GCF number.
So the greatest common factor 78064 and 78081 is 17.

Also check out the Least Common Multiple of 78064 and 78081