What is the Greatest Common Factor of 2893 and 2900?

Greatest common factor (GCF) of 2893 and 2900 is 1.

GCF(2893,2900) = 1

We will now calculate the prime factors of 2893 and 2900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2893 and 2900.

How to find the GCF of 2893 and 2900?

We will first find the prime factorization of 2893 and 2900. After we will calculate the factors of 2893 and 2900 and find the biggest common factor number .

Step-1: Prime Factorization of 2893

Prime factors of 2893 are 11, 263. Prime factorization of 2893 in exponential form is:

2893 = 11¹ × 263¹

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 2893

List of positive integer factors of 2893 that divides 2893 without a remainder.

1, 11, 263

Step-4: Factors of 2900

List of positive integer factors of 2900 that divides 2893 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 2893 and 2900. The biggest common factor number is the GCF number.
So the greatest common factor 2893 and 2900 is 1.

Also check out the Least Common Multiple of 2893 and 2900