What is the Greatest Common Factor of 78829 and 78846?

Greatest common factor (GCF) of 78829 and 78846 is 17.

GCF(78829,78846) = 17

We will now calculate the prime factors of 78829 and 78846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78829 and 78846.

How to find the GCF of 78829 and 78846?

We will first find the prime factorization of 78829 and 78846. After we will calculate the factors of 78829 and 78846 and find the biggest common factor number .

Step-1: Prime Factorization of 78829

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

78829 = 17¹ × 4637¹

Step-2: Prime Factorization of 78846

Prime factors of 78846 are 2, 3, 17, 773. Prime factorization of 78846 in exponential form is:

78846 = 2¹ × 3¹ × 17¹ × 773¹

Step-3: Factors of 78829

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

1, 17, 4637

Step-4: Factors of 78846

List of positive integer factors of 78846 that divides 78829 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 773, 1546, 2319, 4638, 13141, 26282, 39423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78829 and 78846. The biggest common factor number is the GCF number.
So the greatest common factor 78829 and 78846 is 17.

Also check out the Least Common Multiple of 78829 and 78846