What is the Greatest Common Factor of 77823 and 77829?

Greatest common factor (GCF) of 77823 and 77829 is 3.

GCF(77823,77829) = 3

We will now calculate the prime factors of 77823 and 77829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77823 and 77829.

How to find the GCF of 77823 and 77829?

We will first find the prime factorization of 77823 and 77829. After we will calculate the factors of 77823 and 77829 and find the biggest common factor number .

Step-1: Prime Factorization of 77823

Prime factors of 77823 are 3, 8647. Prime factorization of 77823 in exponential form is:

77823 = 3² × 8647¹

Step-2: Prime Factorization of 77829

Prime factors of 77829 are 3, 25943. Prime factorization of 77829 in exponential form is:

77829 = 3¹ × 25943¹

Step-3: Factors of 77823

List of positive integer factors of 77823 that divides 77823 without a remainder.

1, 3, 9, 8647, 25941

Step-4: Factors of 77829

List of positive integer factors of 77829 that divides 77823 without a remainder.

1, 3, 25943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77823 and 77829. The biggest common factor number is the GCF number.
So the greatest common factor 77823 and 77829 is 3.

Also check out the Least Common Multiple of 77823 and 77829