What is the Greatest Common Factor of 78047 and 78064?

Greatest common factor (GCF) of 78047 and 78064 is 17.

GCF(78047,78064) = 17

We will now calculate the prime factors of 78047 and 78064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78047 and 78064.

How to find the GCF of 78047 and 78064?

We will first find the prime factorization of 78047 and 78064. After we will calculate the factors of 78047 and 78064 and find the biggest common factor number .

Step-1: Prime Factorization of 78047

Prime factors of 78047 are 17, 4591. Prime factorization of 78047 in exponential form is:

78047 = 17¹ × 4591¹

Step-2: 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-3: Factors of 78047

List of positive integer factors of 78047 that divides 78047 without a remainder.

1, 17, 4591

Step-4: Factors of 78064

List of positive integer factors of 78064 that divides 78047 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78047 and 78064. The biggest common factor number is the GCF number.
So the greatest common factor 78047 and 78064 is 17.

Also check out the Least Common Multiple of 78047 and 78064