What is the Greatest Common Factor of 2788 and 2800?

Greatest common factor (GCF) of 2788 and 2800 is 4.

GCF(2788,2800) = 4

We will now calculate the prime factors of 2788 and 2800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2788 and 2800.

How to find the GCF of 2788 and 2800?

We will first find the prime factorization of 2788 and 2800. After we will calculate the factors of 2788 and 2800 and find the biggest common factor number .

Step-1: Prime Factorization of 2788

Prime factors of 2788 are 2, 17, 41. Prime factorization of 2788 in exponential form is:

2788 = 2² × 17¹ × 41¹

Step-2: 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-3: Factors of 2788

List of positive integer factors of 2788 that divides 2788 without a remainder.

1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394

Step-4: Factors of 2800

List of positive integer factors of 2800 that divides 2788 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2788 and 2800. The biggest common factor number is the GCF number.
So the greatest common factor 2788 and 2800 is 4.

Also check out the Least Common Multiple of 2788 and 2800