What is the Greatest Common Factor of 2800 and 2809?

Greatest common factor (GCF) of 2800 and 2809 is 1.

GCF(2800,2809) = 1

We will now calculate the prime factors of 2800 and 2809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2800 and 2809.

How to find the GCF of 2800 and 2809?

We will first find the prime factorization of 2800 and 2809. After we will calculate the factors of 2800 and 2809 and find the biggest common factor number .

Step-1: Prime Factorization of 2800

Prime factors of 2800 are 2, 5, 7. Prime factorization of 2800 in exponential form is:

2800 = 2⁴ × 5² × 7¹

Step-2: Prime Factorization of 2809

Prime factors of 2809 are 53. Prime factorization of 2809 in exponential form is:

2809 = 53²

Step-3: Factors of 2800

List of positive integer factors of 2800 that divides 2800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400

Step-4: Factors of 2809

List of positive integer factors of 2809 that divides 2800 without a remainder.

1, 53

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2800 and 2809. The biggest common factor number is the GCF number.
So the greatest common factor 2800 and 2809 is 1.

Also check out the Least Common Multiple of 2800 and 2809