What is the Greatest Common Factor of 2889 and 2896?

Greatest common factor (GCF) of 2889 and 2896 is 1.

GCF(2889,2896) = 1

We will now calculate the prime factors of 2889 and 2896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2889 and 2896.

How to find the GCF of 2889 and 2896?

We will first find the prime factorization of 2889 and 2896. After we will calculate the factors of 2889 and 2896 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 2896

Prime factors of 2896 are 2, 181. Prime factorization of 2896 in exponential form is:

2896 = 2⁴ × 181¹

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 2896

List of positive integer factors of 2896 that divides 2889 without a remainder.

1, 2, 4, 8, 16, 181, 362, 724, 1448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2889 and 2896. The biggest common factor number is the GCF number.
So the greatest common factor 2889 and 2896 is 1.

Also check out the Least Common Multiple of 2889 and 2896