What is the Greatest Common Factor of 78058 and 78064?

Greatest common factor (GCF) of 78058 and 78064 is 2.

GCF(78058,78064) = 2

We will now calculate the prime factors of 78058 and 78064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78058 and 78064.

How to find the GCF of 78058 and 78064?

We will first find the prime factorization of 78058 and 78064. After we will calculate the factors of 78058 and 78064 and find the biggest common factor number .

Step-1: Prime Factorization of 78058

Prime factors of 78058 are 2, 31, 1259. Prime factorization of 78058 in exponential form is:

78058 = 2¹ × 31¹ × 1259¹

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 78058

List of positive integer factors of 78058 that divides 78058 without a remainder.

1, 2, 31, 62, 1259, 2518, 39029

Step-4: Factors of 78064

List of positive integer factors of 78064 that divides 78058 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 78058 and 78064. The biggest common factor number is the GCF number.
So the greatest common factor 78058 and 78064 is 2.

Also check out the Least Common Multiple of 78058 and 78064