What is the Greatest Common Factor of 76812 and 76828?

Greatest common factor (GCF) of 76812 and 76828 is 4.

GCF(76812,76828) = 4

We will now calculate the prime factors of 76812 and 76828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76812 and 76828.

How to find the GCF of 76812 and 76828?

We will first find the prime factorization of 76812 and 76828. After we will calculate the factors of 76812 and 76828 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 76828

Prime factors of 76828 are 2, 19207. Prime factorization of 76828 in exponential form is:

76828 = 2² × 19207¹

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 76828

List of positive integer factors of 76828 that divides 76812 without a remainder.

1, 2, 4, 19207, 38414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76812 and 76828. The biggest common factor number is the GCF number.
So the greatest common factor 76812 and 76828 is 4.

Also check out the Least Common Multiple of 76812 and 76828