What is the Greatest Common Factor of 2889 and 2897?

Greatest common factor (GCF) of 2889 and 2897 is 1.

GCF(2889,2897) = 1

We will now calculate the prime factors of 2889 and 2897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2889 and 2897.

How to find the GCF of 2889 and 2897?

We will first find the prime factorization of 2889 and 2897. After we will calculate the factors of 2889 and 2897 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 2897

Prime factors of 2897 are 2897. Prime factorization of 2897 in exponential form is:

2897 = 2897¹

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 2897

List of positive integer factors of 2897 that divides 2889 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2889 and 2897. The biggest common factor number is the GCF number.
So the greatest common factor 2889 and 2897 is 1.

Also check out the Least Common Multiple of 2889 and 2897