What is the Greatest Common Factor of 2882 and 2900?

Greatest common factor (GCF) of 2882 and 2900 is 2.

GCF(2882,2900) = 2

We will now calculate the prime factors of 2882 and 2900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2882 and 2900.

How to find the GCF of 2882 and 2900?

We will first find the prime factorization of 2882 and 2900. After we will calculate the factors of 2882 and 2900 and find the biggest common factor number .

Step-1: Prime Factorization of 2882

Prime factors of 2882 are 2, 11, 131. Prime factorization of 2882 in exponential form is:

2882 = 2¹ × 11¹ × 131¹

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 2882

List of positive integer factors of 2882 that divides 2882 without a remainder.

1, 2, 11, 22, 131, 262, 1441

Step-4: Factors of 2900

List of positive integer factors of 2900 that divides 2882 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 2882 and 2900. The biggest common factor number is the GCF number.
So the greatest common factor 2882 and 2900 is 2.

Also check out the Least Common Multiple of 2882 and 2900