What is the Greatest Common Factor of 78064 and 78077?

Greatest common factor (GCF) of 78064 and 78077 is 1.

GCF(78064,78077) = 1

We will now calculate the prime factors of 78064 and 78077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78064 and 78077.

How to find the GCF of 78064 and 78077?

We will first find the prime factorization of 78064 and 78077. After we will calculate the factors of 78064 and 78077 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 78077

Prime factors of 78077 are 163, 479. Prime factorization of 78077 in exponential form is:

78077 = 163¹ × 479¹

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 78077

List of positive integer factors of 78077 that divides 78064 without a remainder.

1, 163, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78064 and 78077. The biggest common factor number is the GCF number.
So the greatest common factor 78064 and 78077 is 1.

Also check out the Least Common Multiple of 78064 and 78077