What is the Greatest Common Factor of 2835 and 2855?

Greatest common factor (GCF) of 2835 and 2855 is 5.

GCF(2835,2855) = 5

We will now calculate the prime factors of 2835 and 2855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2835 and 2855.

How to find the GCF of 2835 and 2855?

We will first find the prime factorization of 2835 and 2855. After we will calculate the factors of 2835 and 2855 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 2855

Prime factors of 2855 are 5, 571. Prime factorization of 2855 in exponential form is:

2855 = 5¹ × 571¹

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 2855

List of positive integer factors of 2855 that divides 2835 without a remainder.

1, 5, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2835 and 2855. The biggest common factor number is the GCF number.
So the greatest common factor 2835 and 2855 is 5.

Also check out the Least Common Multiple of 2835 and 2855