What is the Greatest Common Factor of 2805 and 2825?

Greatest common factor (GCF) of 2805 and 2825 is 5.

GCF(2805,2825) = 5

We will now calculate the prime factors of 2805 and 2825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2805 and 2825.

How to find the GCF of 2805 and 2825?

We will first find the prime factorization of 2805 and 2825. After we will calculate the factors of 2805 and 2825 and find the biggest common factor number .

Step-1: Prime Factorization of 2805

Prime factors of 2805 are 3, 5, 11, 17. Prime factorization of 2805 in exponential form is:

2805 = 3¹ × 5¹ × 11¹ × 17¹

Step-2: Prime Factorization of 2825

Prime factors of 2825 are 5, 113. Prime factorization of 2825 in exponential form is:

2825 = 5² × 113¹

Step-3: Factors of 2805

List of positive integer factors of 2805 that divides 2805 without a remainder.

1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935

Step-4: Factors of 2825

List of positive integer factors of 2825 that divides 2805 without a remainder.

1, 5, 25, 113, 565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2805 and 2825. The biggest common factor number is the GCF number.
So the greatest common factor 2805 and 2825 is 5.

Also check out the Least Common Multiple of 2805 and 2825