What is the Greatest Common Factor of 2869 and 2889?

Greatest common factor (GCF) of 2869 and 2889 is 1.

GCF(2869,2889) = 1

We will now calculate the prime factors of 2869 and 2889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2869 and 2889.

How to find the GCF of 2869 and 2889?

We will first find the prime factorization of 2869 and 2889. After we will calculate the factors of 2869 and 2889 and find the biggest common factor number .

Step-1: Prime Factorization of 2869

Prime factors of 2869 are 19, 151. Prime factorization of 2869 in exponential form is:

2869 = 19¹ × 151¹

Step-2: Prime Factorization of 2889

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

2889 = 3³ × 107¹

Step-3: Factors of 2869

List of positive integer factors of 2869 that divides 2869 without a remainder.

1, 19, 151

Step-4: Factors of 2889

List of positive integer factors of 2889 that divides 2869 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2869 and 2889. The biggest common factor number is the GCF number.
So the greatest common factor 2869 and 2889 is 1.

Also check out the Least Common Multiple of 2869 and 2889