What is the Greatest Common Factor of 2828 and 2835?

Greatest common factor (GCF) of 2828 and 2835 is 7.

GCF(2828,2835) = 7

We will now calculate the prime factors of 2828 and 2835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2828 and 2835.

How to find the GCF of 2828 and 2835?

We will first find the prime factorization of 2828 and 2835. After we will calculate the factors of 2828 and 2835 and find the biggest common factor number .

Step-1: Prime Factorization of 2828

Prime factors of 2828 are 2, 7, 101. Prime factorization of 2828 in exponential form is:

2828 = 2² × 7¹ × 101¹

Step-2: 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-3: Factors of 2828

List of positive integer factors of 2828 that divides 2828 without a remainder.

1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414

Step-4: Factors of 2835

List of positive integer factors of 2835 that divides 2828 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2828 and 2835. The biggest common factor number is the GCF number.
So the greatest common factor 2828 and 2835 is 7.

Also check out the Least Common Multiple of 2828 and 2835