What is the Greatest Common Factor of 78064 and 78068?

Greatest common factor (GCF) of 78064 and 78068 is 4.

GCF(78064,78068) = 4

We will now calculate the prime factors of 78064 and 78068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78064 and 78068.

How to find the GCF of 78064 and 78068?

We will first find the prime factorization of 78064 and 78068. After we will calculate the factors of 78064 and 78068 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 78068

Prime factors of 78068 are 2, 29, 673. Prime factorization of 78068 in exponential form is:

78068 = 2² × 29¹ × 673¹

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 78068

List of positive integer factors of 78068 that divides 78064 without a remainder.

1, 2, 4, 29, 58, 116, 673, 1346, 2692, 19517, 39034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78064 and 78068. The biggest common factor number is the GCF number.
So the greatest common factor 78064 and 78068 is 4.

Also check out the Least Common Multiple of 78064 and 78068