What is the Greatest Common Factor of 78809 and 78828?

Greatest common factor (GCF) of 78809 and 78828 is 1.

GCF(78809,78828) = 1

We will now calculate the prime factors of 78809 and 78828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78809 and 78828.

How to find the GCF of 78809 and 78828?

We will first find the prime factorization of 78809 and 78828. After we will calculate the factors of 78809 and 78828 and find the biggest common factor number .

Step-1: Prime Factorization of 78809

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

78809 = 78809¹

Step-2: Prime Factorization of 78828

Prime factors of 78828 are 2, 3, 6569. Prime factorization of 78828 in exponential form is:

78828 = 2² × 3¹ × 6569¹

Step-3: Factors of 78809

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

Step-4: Factors of 78828

List of positive integer factors of 78828 that divides 78809 without a remainder.

1, 2, 3, 4, 6, 12, 6569, 13138, 19707, 26276, 39414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78809 and 78828. The biggest common factor number is the GCF number.
So the greatest common factor 78809 and 78828 is 1.

Also check out the Least Common Multiple of 78809 and 78828