What is the Greatest Common Factor of 2800 and 2804?

Greatest common factor (GCF) of 2800 and 2804 is 4.

GCF(2800,2804) = 4

We will now calculate the prime factors of 2800 and 2804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2800 and 2804.

How to find the GCF of 2800 and 2804?

We will first find the prime factorization of 2800 and 2804. After we will calculate the factors of 2800 and 2804 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 2804

Prime factors of 2804 are 2, 701. Prime factorization of 2804 in exponential form is:

2804 = 2² × 701¹

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 2804

List of positive integer factors of 2804 that divides 2800 without a remainder.

1, 2, 4, 701, 1402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2800 and 2804. The biggest common factor number is the GCF number.
So the greatest common factor 2800 and 2804 is 4.

Also check out the Least Common Multiple of 2800 and 2804