What is the Greatest Common Factor of 2874 and 2887?

Greatest common factor (GCF) of 2874 and 2887 is 1.

GCF(2874,2887) = 1

We will now calculate the prime factors of 2874 and 2887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2874 and 2887.

How to find the GCF of 2874 and 2887?

We will first find the prime factorization of 2874 and 2887. After we will calculate the factors of 2874 and 2887 and find the biggest common factor number .

Step-1: Prime Factorization of 2874

Prime factors of 2874 are 2, 3, 479. Prime factorization of 2874 in exponential form is:

2874 = 2¹ × 3¹ × 479¹

Step-2: Prime Factorization of 2887

Prime factors of 2887 are 2887. Prime factorization of 2887 in exponential form is:

2887 = 2887¹

Step-3: Factors of 2874

List of positive integer factors of 2874 that divides 2874 without a remainder.

1, 2, 3, 6, 479, 958, 1437

Step-4: Factors of 2887

List of positive integer factors of 2887 that divides 2874 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2874 and 2887. The biggest common factor number is the GCF number.
So the greatest common factor 2874 and 2887 is 1.

Also check out the Least Common Multiple of 2874 and 2887