What is the Greatest Common Factor of 2889 and 2898?

Greatest common factor (GCF) of 2889 and 2898 is 9.

GCF(2889,2898) = 9

We will now calculate the prime factors of 2889 and 2898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2889 and 2898.

How to find the GCF of 2889 and 2898?

We will first find the prime factorization of 2889 and 2898. After we will calculate the factors of 2889 and 2898 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 2898

Prime factors of 2898 are 2, 3, 7, 23. Prime factorization of 2898 in exponential form is:

2898 = 2¹ × 3² × 7¹ × 23¹

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 2898

List of positive integer factors of 2898 that divides 2889 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2889 and 2898. The biggest common factor number is the GCF number.
So the greatest common factor 2889 and 2898 is 9.

Also check out the Least Common Multiple of 2889 and 2898