What is the Greatest Common Factor of 76812 and 76821?

Greatest common factor (GCF) of 76812 and 76821 is 3.

GCF(76812,76821) = 3

We will now calculate the prime factors of 76812 and 76821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76812 and 76821.

How to find the GCF of 76812 and 76821?

We will first find the prime factorization of 76812 and 76821. After we will calculate the factors of 76812 and 76821 and find the biggest common factor number .

Step-1: Prime Factorization of 76812

Prime factors of 76812 are 2, 3, 37, 173. Prime factorization of 76812 in exponential form is:

76812 = 2² × 3¹ × 37¹ × 173¹

Step-2: 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-3: Factors of 76812

List of positive integer factors of 76812 that divides 76812 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 173, 222, 346, 444, 519, 692, 1038, 2076, 6401, 12802, 19203, 25604, 38406

Step-4: Factors of 76821

List of positive integer factors of 76821 that divides 76812 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76812 and 76821. The biggest common factor number is the GCF number.
So the greatest common factor 76812 and 76821 is 3.

Also check out the Least Common Multiple of 76812 and 76821