What is the Greatest Common Factor of 2822 and 2842?

Greatest common factor (GCF) of 2822 and 2842 is 2.

GCF(2822,2842) = 2

We will now calculate the prime factors of 2822 and 2842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2822 and 2842.

How to find the GCF of 2822 and 2842?

We will first find the prime factorization of 2822 and 2842. After we will calculate the factors of 2822 and 2842 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 2842

Prime factors of 2842 are 2, 7, 29. Prime factorization of 2842 in exponential form is:

2842 = 2¹ × 7² × 29¹

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 2842

List of positive integer factors of 2842 that divides 2822 without a remainder.

1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2822 and 2842. The biggest common factor number is the GCF number.
So the greatest common factor 2822 and 2842 is 2.

Also check out the Least Common Multiple of 2822 and 2842