What is the Greatest Common Factor of 78048 and 78064?

Greatest common factor (GCF) of 78048 and 78064 is 16.

GCF(78048,78064) = 16

We will now calculate the prime factors of 78048 and 78064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78048 and 78064.

How to find the GCF of 78048 and 78064?

We will first find the prime factorization of 78048 and 78064. After we will calculate the factors of 78048 and 78064 and find the biggest common factor number .

Step-1: Prime Factorization of 78048

Prime factors of 78048 are 2, 3, 271. Prime factorization of 78048 in exponential form is:

78048 = 2⁵ × 3² × 271¹

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 78048

List of positive integer factors of 78048 that divides 78048 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 271, 288, 542, 813, 1084, 1626, 2168, 2439, 3252, 4336, 4878, 6504, 8672, 9756, 13008, 19512, 26016, 39024

Step-4: Factors of 78064

List of positive integer factors of 78064 that divides 78048 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 78048 and 78064. The biggest common factor number is the GCF number.
So the greatest common factor 78048 and 78064 is 16.

Also check out the Least Common Multiple of 78048 and 78064