What is the Greatest Common Factor of 2835 and 2844?

Greatest common factor (GCF) of 2835 and 2844 is 9.

GCF(2835,2844) = 9

We will now calculate the prime factors of 2835 and 2844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2835 and 2844.

How to find the GCF of 2835 and 2844?

We will first find the prime factorization of 2835 and 2844. After we will calculate the factors of 2835 and 2844 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 2844

Prime factors of 2844 are 2, 3, 79. Prime factorization of 2844 in exponential form is:

2844 = 2² × 3² × 79¹

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 2844

List of positive integer factors of 2844 that divides 2835 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 79, 158, 237, 316, 474, 711, 948, 1422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2835 and 2844. The biggest common factor number is the GCF number.
So the greatest common factor 2835 and 2844 is 9.

Also check out the Least Common Multiple of 2835 and 2844