What is the Greatest Common Factor of 78831 and 78843?

Greatest common factor (GCF) of 78831 and 78843 is 3.

GCF(78831,78843) = 3

We will now calculate the prime factors of 78831 and 78843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78831 and 78843.

How to find the GCF of 78831 and 78843?

We will first find the prime factorization of 78831 and 78843. After we will calculate the factors of 78831 and 78843 and find the biggest common factor number .

Step-1: Prime Factorization of 78831

Prime factors of 78831 are 3, 19, 461. Prime factorization of 78831 in exponential form is:

78831 = 3² × 19¹ × 461¹

Step-2: Prime Factorization of 78843

Prime factors of 78843 are 3, 41, 641. Prime factorization of 78843 in exponential form is:

78843 = 3¹ × 41¹ × 641¹

Step-3: Factors of 78831

List of positive integer factors of 78831 that divides 78831 without a remainder.

1, 3, 9, 19, 57, 171, 461, 1383, 4149, 8759, 26277

Step-4: Factors of 78843

List of positive integer factors of 78843 that divides 78831 without a remainder.

1, 3, 41, 123, 641, 1923, 26281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78831 and 78843. The biggest common factor number is the GCF number.
So the greatest common factor 78831 and 78843 is 3.

Also check out the Least Common Multiple of 78831 and 78843