What is the Greatest Common Factor of 2880 and 2900?

Greatest common factor (GCF) of 2880 and 2900 is 20.

GCF(2880,2900) = 20

We will now calculate the prime factors of 2880 and 2900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2880 and 2900.

How to find the GCF of 2880 and 2900?

We will first find the prime factorization of 2880 and 2900. After we will calculate the factors of 2880 and 2900 and find the biggest common factor number .

Step-1: Prime Factorization of 2880

Prime factors of 2880 are 2, 3, 5. Prime factorization of 2880 in exponential form is:

2880 = 2⁶ × 3² × 5¹

Step-2: Prime Factorization of 2900

Prime factors of 2900 are 2, 5, 29. Prime factorization of 2900 in exponential form is:

2900 = 2² × 5² × 29¹

Step-3: Factors of 2880

List of positive integer factors of 2880 that divides 2880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440

Step-4: Factors of 2900

List of positive integer factors of 2900 that divides 2880 without a remainder.

1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 1450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2880 and 2900. The biggest common factor number is the GCF number.
So the greatest common factor 2880 and 2900 is 20.

Also check out the Least Common Multiple of 2880 and 2900