What is the Greatest Common Factor of 2882 and 2887?

Greatest common factor (GCF) of 2882 and 2887 is 1.

GCF(2882,2887) = 1

We will now calculate the prime factors of 2882 and 2887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2882 and 2887.

How to find the GCF of 2882 and 2887?

We will first find the prime factorization of 2882 and 2887. After we will calculate the factors of 2882 and 2887 and find the biggest common factor number .

Step-1: Prime Factorization of 2882

Prime factors of 2882 are 2, 11, 131. Prime factorization of 2882 in exponential form is:

2882 = 2¹ × 11¹ × 131¹

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 2882

List of positive integer factors of 2882 that divides 2882 without a remainder.

1, 2, 11, 22, 131, 262, 1441

Step-4: Factors of 2887

List of positive integer factors of 2887 that divides 2882 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2882 and 2887. The biggest common factor number is the GCF number.
So the greatest common factor 2882 and 2887 is 1.

Also check out the Least Common Multiple of 2882 and 2887