What is the Greatest Common Factor of 78790 and 78809?

Greatest common factor (GCF) of 78790 and 78809 is 1.

GCF(78790,78809) = 1

We will now calculate the prime factors of 78790 and 78809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78790 and 78809.

How to find the GCF of 78790 and 78809?

We will first find the prime factorization of 78790 and 78809. After we will calculate the factors of 78790 and 78809 and find the biggest common factor number .

Step-1: Prime Factorization of 78790

Prime factors of 78790 are 2, 5, 7879. Prime factorization of 78790 in exponential form is:

78790 = 2¹ × 5¹ × 7879¹

Step-2: Prime Factorization of 78809

Prime factors of 78809 are 78809. Prime factorization of 78809 in exponential form is:

78809 = 78809¹

Step-3: Factors of 78790

List of positive integer factors of 78790 that divides 78790 without a remainder.

1, 2, 5, 10, 7879, 15758, 39395

Step-4: Factors of 78809

List of positive integer factors of 78809 that divides 78790 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78790 and 78809. The biggest common factor number is the GCF number.
So the greatest common factor 78790 and 78809 is 1.

Also check out the Least Common Multiple of 78790 and 78809