What is the Greatest Common Factor of 2899 and 2912?

Greatest common factor (GCF) of 2899 and 2912 is 13.

GCF(2899,2912) = 13

We will now calculate the prime factors of 2899 and 2912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2899 and 2912.

How to find the GCF of 2899 and 2912?

We will first find the prime factorization of 2899 and 2912. After we will calculate the factors of 2899 and 2912 and find the biggest common factor number .

Step-1: Prime Factorization of 2899

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

2899 = 13¹ × 223¹

Step-2: Prime Factorization of 2912

Prime factors of 2912 are 2, 7, 13. Prime factorization of 2912 in exponential form is:

2912 = 2⁵ × 7¹ × 13¹

Step-3: Factors of 2899

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

1, 13, 223

Step-4: Factors of 2912

List of positive integer factors of 2912 that divides 2899 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2899 and 2912. The biggest common factor number is the GCF number.
So the greatest common factor 2899 and 2912 is 13.

Also check out the Least Common Multiple of 2899 and 2912