What is the Greatest Common Factor of 2886 and 2899?

Greatest common factor (GCF) of 2886 and 2899 is 13.

GCF(2886,2899) = 13

We will now calculate the prime factors of 2886 and 2899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2886 and 2899.

How to find the GCF of 2886 and 2899?

We will first find the prime factorization of 2886 and 2899. After we will calculate the factors of 2886 and 2899 and find the biggest common factor number .

Step-1: Prime Factorization of 2886

Prime factors of 2886 are 2, 3, 13, 37. Prime factorization of 2886 in exponential form is:

2886 = 2¹ × 3¹ × 13¹ × 37¹

Step-2: Prime Factorization of 2899

Prime factors of 2899 are 13, 223. Prime factorization of 2899 in exponential form is:

2899 = 13¹ × 223¹

Step-3: Factors of 2886

List of positive integer factors of 2886 that divides 2886 without a remainder.

1, 2, 3, 6, 13, 26, 37, 39, 74, 78, 111, 222, 481, 962, 1443

Step-4: Factors of 2899

List of positive integer factors of 2899 that divides 2886 without a remainder.

1, 13, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2886 and 2899. The biggest common factor number is the GCF number.
So the greatest common factor 2886 and 2899 is 13.

Also check out the Least Common Multiple of 2886 and 2899