What is the Greatest Common Factor of 78064 and 78080?

Greatest common factor (GCF) of 78064 and 78080 is 16.

GCF(78064,78080) = 16

We will now calculate the prime factors of 78064 and 78080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78064 and 78080.

How to find the GCF of 78064 and 78080?

We will first find the prime factorization of 78064 and 78080. After we will calculate the factors of 78064 and 78080 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 78080

Prime factors of 78080 are 2, 5, 61. Prime factorization of 78080 in exponential form is:

78080 = 2⁸ × 5¹ × 61¹

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 78080

List of positive integer factors of 78080 that divides 78064 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 64, 80, 122, 128, 160, 244, 256, 305, 320, 488, 610, 640, 976, 1220, 1280, 1952, 2440, 3904, 4880, 7808, 9760, 15616, 19520, 39040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78064 and 78080. The biggest common factor number is the GCF number.
So the greatest common factor 78064 and 78080 is 16.

Also check out the Least Common Multiple of 78064 and 78080