What is the Greatest Common Factor of 78656 and 78667?

Greatest common factor (GCF) of 78656 and 78667 is 1.

GCF(78656,78667) = 1

We will now calculate the prime factors of 78656 and 78667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78656 and 78667.

How to find the GCF of 78656 and 78667?

We will first find the prime factorization of 78656 and 78667. After we will calculate the factors of 78656 and 78667 and find the biggest common factor number .

Step-1: Prime Factorization of 78656

Prime factors of 78656 are 2, 1229. Prime factorization of 78656 in exponential form is:

78656 = 2⁶ × 1229¹

Step-2: Prime Factorization of 78667

Prime factors of 78667 are 97, 811. Prime factorization of 78667 in exponential form is:

78667 = 97¹ × 811¹

Step-3: Factors of 78656

List of positive integer factors of 78656 that divides 78656 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1229, 2458, 4916, 9832, 19664, 39328

Step-4: Factors of 78667

List of positive integer factors of 78667 that divides 78656 without a remainder.

1, 97, 811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78656 and 78667. The biggest common factor number is the GCF number.
So the greatest common factor 78656 and 78667 is 1.

Also check out the Least Common Multiple of 78656 and 78667