What is the Greatest Common Factor of 2835 and 2842?

Greatest common factor (GCF) of 2835 and 2842 is 7.

GCF(2835,2842) = 7

We will now calculate the prime factors of 2835 and 2842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2835 and 2842.

How to find the GCF of 2835 and 2842?

We will first find the prime factorization of 2835 and 2842. After we will calculate the factors of 2835 and 2842 and find the biggest common factor number .

Step-1: Prime Factorization of 2835

Prime factors of 2835 are 3, 5, 7. Prime factorization of 2835 in exponential form is:

2835 = 3⁴ × 5¹ × 7¹

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 2835

List of positive integer factors of 2835 that divides 2835 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945

Step-4: Factors of 2842

List of positive integer factors of 2842 that divides 2835 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 2835 and 2842. The biggest common factor number is the GCF number.
So the greatest common factor 2835 and 2842 is 7.

Also check out the Least Common Multiple of 2835 and 2842