What is the Greatest Common Factor of 76821 and 76833?

Greatest common factor (GCF) of 76821 and 76833 is 3.

GCF(76821,76833) = 3

We will now calculate the prime factors of 76821 and 76833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76821 and 76833.

How to find the GCF of 76821 and 76833?

We will first find the prime factorization of 76821 and 76833. After we will calculate the factors of 76821 and 76833 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 76833

Prime factors of 76833 are 3, 8537. Prime factorization of 76833 in exponential form is:

76833 = 3² × 8537¹

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 76833

List of positive integer factors of 76833 that divides 76821 without a remainder.

1, 3, 9, 8537, 25611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76821 and 76833. The biggest common factor number is the GCF number.
So the greatest common factor 76821 and 76833 is 3.

Also check out the Least Common Multiple of 76821 and 76833