What is the Greatest Common Factor of 2926 and 2933?

Greatest common factor (GCF) of 2926 and 2933 is 7.

GCF(2926,2933) = 7

We will now calculate the prime factors of 2926 and 2933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2926 and 2933.

How to find the GCF of 2926 and 2933?

We will first find the prime factorization of 2926 and 2933. After we will calculate the factors of 2926 and 2933 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2933

Prime factors of 2933 are 7, 419. Prime factorization of 2933 in exponential form is:

2933 = 7¹ × 419¹

Step-3: Factors of 2926

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

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

Step-4: Factors of 2933

List of positive integer factors of 2933 that divides 2926 without a remainder.

1, 7, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2926 and 2933. The biggest common factor number is the GCF number.
So the greatest common factor 2926 and 2933 is 7.

Also check out the Least Common Multiple of 2926 and 2933