What is the Greatest Common Factor of 2906 and 2926?

Greatest common factor (GCF) of 2906 and 2926 is 2.

GCF(2906,2926) = 2

We will now calculate the prime factors of 2906 and 2926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2906 and 2926.

How to find the GCF of 2906 and 2926?

We will first find the prime factorization of 2906 and 2926. After we will calculate the factors of 2906 and 2926 and find the biggest common factor number .

Step-1: Prime Factorization of 2906

Prime factors of 2906 are 2, 1453. Prime factorization of 2906 in exponential form is:

2906 = 2¹ × 1453¹

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 2906

List of positive integer factors of 2906 that divides 2906 without a remainder.

1, 2, 1453

Step-4: Factors of 2926

List of positive integer factors of 2926 that divides 2906 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 2906 and 2926. The biggest common factor number is the GCF number.
So the greatest common factor 2906 and 2926 is 2.

Also check out the Least Common Multiple of 2906 and 2926