What is the Greatest Common Factor of 82809 and 82821?

Greatest common factor (GCF) of 82809 and 82821 is 3.

GCF(82809,82821) = 3

We will now calculate the prime factors of 82809 and 82821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82809 and 82821.

How to find the GCF of 82809 and 82821?

We will first find the prime factorization of 82809 and 82821. After we will calculate the factors of 82809 and 82821 and find the biggest common factor number .

Step-1: Prime Factorization of 82809

Prime factors of 82809 are 3, 3067. Prime factorization of 82809 in exponential form is:

82809 = 3³ × 3067¹

Step-2: Prime Factorization of 82821

Prime factors of 82821 are 3, 19, 1453. Prime factorization of 82821 in exponential form is:

82821 = 3¹ × 19¹ × 1453¹

Step-3: Factors of 82809

List of positive integer factors of 82809 that divides 82809 without a remainder.

1, 3, 9, 27, 3067, 9201, 27603

Step-4: Factors of 82821

List of positive integer factors of 82821 that divides 82809 without a remainder.

1, 3, 19, 57, 1453, 4359, 27607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82809 and 82821. The biggest common factor number is the GCF number.
So the greatest common factor 82809 and 82821 is 3.

Also check out the Least Common Multiple of 82809 and 82821