What is the Greatest Common Factor of 2799 and 2814?

Greatest common factor (GCF) of 2799 and 2814 is 3.

GCF(2799,2814) = 3

We will now calculate the prime factors of 2799 and 2814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2799 and 2814.

How to find the GCF of 2799 and 2814?

We will first find the prime factorization of 2799 and 2814. After we will calculate the factors of 2799 and 2814 and find the biggest common factor number .

Step-1: Prime Factorization of 2799

Prime factors of 2799 are 3, 311. Prime factorization of 2799 in exponential form is:

2799 = 3² × 311¹

Step-2: Prime Factorization of 2814

Prime factors of 2814 are 2, 3, 7, 67. Prime factorization of 2814 in exponential form is:

2814 = 2¹ × 3¹ × 7¹ × 67¹

Step-3: Factors of 2799

List of positive integer factors of 2799 that divides 2799 without a remainder.

1, 3, 9, 311, 933

Step-4: Factors of 2814

List of positive integer factors of 2814 that divides 2799 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 67, 134, 201, 402, 469, 938, 1407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2799 and 2814. The biggest common factor number is the GCF number.
So the greatest common factor 2799 and 2814 is 3.

Also check out the Least Common Multiple of 2799 and 2814