What is the Greatest Common Factor of 2889 and 2893?

Greatest common factor (GCF) of 2889 and 2893 is 1.

GCF(2889,2893) = 1

We will now calculate the prime factors of 2889 and 2893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2889 and 2893.

How to find the GCF of 2889 and 2893?

We will first find the prime factorization of 2889 and 2893. After we will calculate the factors of 2889 and 2893 and find the biggest common factor number .

Step-1: Prime Factorization of 2889

Prime factors of 2889 are 3, 107. Prime factorization of 2889 in exponential form is:

2889 = 3³ × 107¹

Step-2: Prime Factorization of 2893

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

2893 = 11¹ × 263¹

Step-3: Factors of 2889

List of positive integer factors of 2889 that divides 2889 without a remainder.

1, 3, 9, 27, 107, 321, 963

Step-4: Factors of 2893

List of positive integer factors of 2893 that divides 2889 without a remainder.

1, 11, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2889 and 2893. The biggest common factor number is the GCF number.
So the greatest common factor 2889 and 2893 is 1.

Also check out the Least Common Multiple of 2889 and 2893