What is the Greatest Common Factor of 77841 and 77859?

Greatest common factor (GCF) of 77841 and 77859 is 9.

GCF(77841,77859) = 9

We will now calculate the prime factors of 77841 and 77859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77841 and 77859.

How to find the GCF of 77841 and 77859?

We will first find the prime factorization of 77841 and 77859. After we will calculate the factors of 77841 and 77859 and find the biggest common factor number .

Step-1: Prime Factorization of 77841

Prime factors of 77841 are 3, 31. Prime factorization of 77841 in exponential form is:

77841 = 3⁴ × 31²

Step-2: Prime Factorization of 77859

Prime factors of 77859 are 3, 41, 211. Prime factorization of 77859 in exponential form is:

77859 = 3² × 41¹ × 211¹

Step-3: Factors of 77841

List of positive integer factors of 77841 that divides 77841 without a remainder.

1, 3, 9, 27, 31, 81, 93, 279, 837, 961, 2511, 2883, 8649, 25947

Step-4: Factors of 77859

List of positive integer factors of 77859 that divides 77841 without a remainder.

1, 3, 9, 41, 123, 211, 369, 633, 1899, 8651, 25953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77841 and 77859. The biggest common factor number is the GCF number.
So the greatest common factor 77841 and 77859 is 9.

Also check out the Least Common Multiple of 77841 and 77859