What is the Greatest Common Factor of 76821 and 76836?

Greatest common factor (GCF) of 76821 and 76836 is 3.

GCF(76821,76836) = 3

We will now calculate the prime factors of 76821 and 76836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76821 and 76836.

How to find the GCF of 76821 and 76836?

We will first find the prime factorization of 76821 and 76836. After we will calculate the factors of 76821 and 76836 and find the biggest common factor number .

Step-1: Prime Factorization of 76821

Prime factors of 76821 are 3, 29, 883. Prime factorization of 76821 in exponential form is:

76821 = 3¹ × 29¹ × 883¹

Step-2: Prime Factorization of 76836

Prime factors of 76836 are 2, 3, 19, 337. Prime factorization of 76836 in exponential form is:

76836 = 2² × 3¹ × 19¹ × 337¹

Step-3: Factors of 76821

List of positive integer factors of 76821 that divides 76821 without a remainder.

1, 3, 29, 87, 883, 2649, 25607

Step-4: Factors of 76836

List of positive integer factors of 76836 that divides 76821 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 337, 674, 1011, 1348, 2022, 4044, 6403, 12806, 19209, 25612, 38418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76821 and 76836. The biggest common factor number is the GCF number.
So the greatest common factor 76821 and 76836 is 3.

Also check out the Least Common Multiple of 76821 and 76836