What is the Greatest Common Factor of 78822 and 78829?

Greatest common factor (GCF) of 78822 and 78829 is 1.

GCF(78822,78829) = 1

We will now calculate the prime factors of 78822 and 78829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78822 and 78829.

How to find the GCF of 78822 and 78829?

We will first find the prime factorization of 78822 and 78829. After we will calculate the factors of 78822 and 78829 and find the biggest common factor number .

Step-1: Prime Factorization of 78822

Prime factors of 78822 are 2, 3, 29, 151. Prime factorization of 78822 in exponential form is:

78822 = 2¹ × 3² × 29¹ × 151¹

Step-2: Prime Factorization of 78829

Prime factors of 78829 are 17, 4637. Prime factorization of 78829 in exponential form is:

78829 = 17¹ × 4637¹

Step-3: Factors of 78822

List of positive integer factors of 78822 that divides 78822 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 151, 174, 261, 302, 453, 522, 906, 1359, 2718, 4379, 8758, 13137, 26274, 39411

Step-4: Factors of 78829

List of positive integer factors of 78829 that divides 78822 without a remainder.

1, 17, 4637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78822 and 78829. The biggest common factor number is the GCF number.
So the greatest common factor 78822 and 78829 is 1.

Also check out the Least Common Multiple of 78822 and 78829