What is the Greatest Common Factor of 2877 and 2889?

Greatest common factor (GCF) of 2877 and 2889 is 3.

GCF(2877,2889) = 3

We will now calculate the prime factors of 2877 and 2889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2877 and 2889.

How to find the GCF of 2877 and 2889?

We will first find the prime factorization of 2877 and 2889. After we will calculate the factors of 2877 and 2889 and find the biggest common factor number .

Step-1: Prime Factorization of 2877

Prime factors of 2877 are 3, 7, 137. Prime factorization of 2877 in exponential form is:

2877 = 3¹ × 7¹ × 137¹

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 2877

List of positive integer factors of 2877 that divides 2877 without a remainder.

1, 3, 7, 21, 137, 411, 959

Step-4: Factors of 2889

List of positive integer factors of 2889 that divides 2877 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2877 and 2889. The biggest common factor number is the GCF number.
So the greatest common factor 2877 and 2889 is 3.

Also check out the Least Common Multiple of 2877 and 2889