What is the Greatest Common Factor of 2912 and 2926?

Greatest common factor (GCF) of 2912 and 2926 is 14.

GCF(2912,2926) = 14

We will now calculate the prime factors of 2912 and 2926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2912 and 2926.

How to find the GCF of 2912 and 2926?

We will first find the prime factorization of 2912 and 2926. After we will calculate the factors of 2912 and 2926 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2926

Prime factors of 2926 are 2, 7, 11, 19. Prime factorization of 2926 in exponential form is:

2926 = 2¹ × 7¹ × 11¹ × 19¹

Step-3: Factors of 2912

List of positive integer factors of 2912 that divides 2912 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

Step-4: Factors of 2926

List of positive integer factors of 2926 that divides 2912 without a remainder.

1, 2, 7, 11, 14, 19, 22, 38, 77, 133, 154, 209, 266, 418, 1463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2912 and 2926. The biggest common factor number is the GCF number.
So the greatest common factor 2912 and 2926 is 14.

Also check out the Least Common Multiple of 2912 and 2926