What is the Greatest Common Factor of 78812 and 78829?

Greatest common factor (GCF) of 78812 and 78829 is 17.

GCF(78812,78829) = 17

We will now calculate the prime factors of 78812 and 78829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78812 and 78829.

How to find the GCF of 78812 and 78829?

We will first find the prime factorization of 78812 and 78829. After we will calculate the factors of 78812 and 78829 and find the biggest common factor number .

Step-1: Prime Factorization of 78812

Prime factors of 78812 are 2, 17, 19, 61. Prime factorization of 78812 in exponential form is:

78812 = 2² × 17¹ × 19¹ × 61¹

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 78812

List of positive integer factors of 78812 that divides 78812 without a remainder.

1, 2, 4, 17, 19, 34, 38, 61, 68, 76, 122, 244, 323, 646, 1037, 1159, 1292, 2074, 2318, 4148, 4636, 19703, 39406

Step-4: Factors of 78829

List of positive integer factors of 78829 that divides 78812 without a remainder.

1, 17, 4637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78812 and 78829. The biggest common factor number is the GCF number.
So the greatest common factor 78812 and 78829 is 17.

Also check out the Least Common Multiple of 78812 and 78829