What is the Greatest Common Factor of 78656 and 78671?

Greatest common factor (GCF) of 78656 and 78671 is 1.

GCF(78656,78671) = 1

We will now calculate the prime factors of 78656 and 78671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78656 and 78671.

How to find the GCF of 78656 and 78671?

We will first find the prime factorization of 78656 and 78671. After we will calculate the factors of 78656 and 78671 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 78671

Prime factors of 78671 are 151, 521. Prime factorization of 78671 in exponential form is:

78671 = 151¹ × 521¹

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 78671

List of positive integer factors of 78671 that divides 78656 without a remainder.

1, 151, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78656 and 78671. The biggest common factor number is the GCF number.
So the greatest common factor 78656 and 78671 is 1.

Also check out the Least Common Multiple of 78656 and 78671