What is the Greatest Common Factor of 82821 and 82833?

Greatest common factor (GCF) of 82821 and 82833 is 3.

GCF(82821,82833) = 3

We will now calculate the prime factors of 82821 and 82833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82821 and 82833.

How to find the GCF of 82821 and 82833?

We will first find the prime factorization of 82821 and 82833. After we will calculate the factors of 82821 and 82833 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82833

Prime factors of 82833 are 3, 27611. Prime factorization of 82833 in exponential form is:

82833 = 3¹ × 27611¹

Step-3: Factors of 82821

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

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

Step-4: Factors of 82833

List of positive integer factors of 82833 that divides 82821 without a remainder.

1, 3, 27611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82821 and 82833. The biggest common factor number is the GCF number.
So the greatest common factor 82821 and 82833 is 3.

Also check out the Least Common Multiple of 82821 and 82833