What is the Greatest Common Factor of 76821 and 76828?

Greatest common factor (GCF) of 76821 and 76828 is 1.

GCF(76821,76828) = 1

We will now calculate the prime factors of 76821 and 76828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76821 and 76828.

How to find the GCF of 76821 and 76828?

We will first find the prime factorization of 76821 and 76828. After we will calculate the factors of 76821 and 76828 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 76828

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

76828 = 2² × 19207¹

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 76828

List of positive integer factors of 76828 that divides 76821 without a remainder.

1, 2, 4, 19207, 38414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76821 and 76828. The biggest common factor number is the GCF number.
So the greatest common factor 76821 and 76828 is 1.

Also check out the Least Common Multiple of 76821 and 76828