What is the Greatest Common Factor of 76821 and 76839?

Greatest common factor (GCF) of 76821 and 76839 is 3.

GCF(76821,76839) = 3

We will now calculate the prime factors of 76821 and 76839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76821 and 76839.

How to find the GCF of 76821 and 76839?

We will first find the prime factorization of 76821 and 76839. After we will calculate the factors of 76821 and 76839 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 76839

Prime factors of 76839 are 3, 7, 3659. Prime factorization of 76839 in exponential form is:

76839 = 3¹ × 7¹ × 3659¹

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 76839

List of positive integer factors of 76839 that divides 76821 without a remainder.

1, 3, 7, 21, 3659, 10977, 25613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76821 and 76839. The biggest common factor number is the GCF number.
So the greatest common factor 76821 and 76839 is 3.

Also check out the Least Common Multiple of 76821 and 76839