What is the Greatest Common Factor of 2817 and 2829?

Greatest common factor (GCF) of 2817 and 2829 is 3.

GCF(2817,2829) = 3

We will now calculate the prime factors of 2817 and 2829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2817 and 2829.

How to find the GCF of 2817 and 2829?

We will first find the prime factorization of 2817 and 2829. After we will calculate the factors of 2817 and 2829 and find the biggest common factor number .

Step-1: Prime Factorization of 2817

Prime factors of 2817 are 3, 313. Prime factorization of 2817 in exponential form is:

2817 = 3² × 313¹

Step-2: Prime Factorization of 2829

Prime factors of 2829 are 3, 23, 41. Prime factorization of 2829 in exponential form is:

2829 = 3¹ × 23¹ × 41¹

Step-3: Factors of 2817

List of positive integer factors of 2817 that divides 2817 without a remainder.

1, 3, 9, 313, 939

Step-4: Factors of 2829

List of positive integer factors of 2829 that divides 2817 without a remainder.

1, 3, 23, 41, 69, 123, 943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2817 and 2829. The biggest common factor number is the GCF number.
So the greatest common factor 2817 and 2829 is 3.

Also check out the Least Common Multiple of 2817 and 2829