What is the Greatest Common Factor of 78657 and 78671?

Greatest common factor (GCF) of 78657 and 78671 is 1.

GCF(78657,78671) = 1

We will now calculate the prime factors of 78657 and 78671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78657 and 78671.

How to find the GCF of 78657 and 78671?

We will first find the prime factorization of 78657 and 78671. After we will calculate the factors of 78657 and 78671 and find the biggest common factor number .

Step-1: Prime Factorization of 78657

Prime factors of 78657 are 3, 157, 167. Prime factorization of 78657 in exponential form is:

78657 = 3¹ × 157¹ × 167¹

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 78657

List of positive integer factors of 78657 that divides 78657 without a remainder.

1, 3, 157, 167, 471, 501, 26219

Step-4: Factors of 78671

List of positive integer factors of 78671 that divides 78657 without a remainder.

1, 151, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78657 and 78671. The biggest common factor number is the GCF number.
So the greatest common factor 78657 and 78671 is 1.

Also check out the Least Common Multiple of 78657 and 78671