What is the Greatest Common Factor of 2822 and 2839?

Greatest common factor (GCF) of 2822 and 2839 is 17.

GCF(2822,2839) = 17

We will now calculate the prime factors of 2822 and 2839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2822 and 2839.

How to find the GCF of 2822 and 2839?

We will first find the prime factorization of 2822 and 2839. After we will calculate the factors of 2822 and 2839 and find the biggest common factor number .

Step-1: Prime Factorization of 2822

Prime factors of 2822 are 2, 17, 83. Prime factorization of 2822 in exponential form is:

2822 = 2¹ × 17¹ × 83¹

Step-2: Prime Factorization of 2839

Prime factors of 2839 are 17, 167. Prime factorization of 2839 in exponential form is:

2839 = 17¹ × 167¹

Step-3: Factors of 2822

List of positive integer factors of 2822 that divides 2822 without a remainder.

1, 2, 17, 34, 83, 166, 1411

Step-4: Factors of 2839

List of positive integer factors of 2839 that divides 2822 without a remainder.

1, 17, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2822 and 2839. The biggest common factor number is the GCF number.
So the greatest common factor 2822 and 2839 is 17.

Also check out the Least Common Multiple of 2822 and 2839