Greatest Common Factor of 2926 and 2933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2926, 2933 i.e. 7 largest integer by which both the numbers can be divided.

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

GCF(2926,2933) = 7

GCF of 2926 and 2933

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2926 and 2933

GCF of 2926 and 2933 is 7

Prime Factorization of 2926


2 2926
7 1463
11 209
19 19
1

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

2926 = 21×71×111×191

Prime Factorization of 2933


7 2933
419 419
1

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

2933 = 71×4191

∴ So by taking common prime factors GCF of 2926 and 2933 is 7

Greatest Common Factor of 2926 and 2933 by matching factors method

Factors of 2926

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

1,2,7,11,14,19,22,38,77,133,154,209,266,418,1463,2926

Factors of 2933

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

1,7,419,2933

Greatest Common Factor

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

Properties of GCF 2926 and 2933

(i) The GCF of 2926 and 2933 is associative

GCF of 2926 and 2933 = GCF of 2933 and 2926

Related Greatest Common Factor of 2926

Related Greatest Common Factor of 2933

Frequently Asked Questions on GCF of 2926 and 2933

1. What is the GCF of 2926 and 2933?

Answer: GCF of 2926 and 2933 is 7.

2. What are the Factors of 2926?

Answer: Factors of 2926 are 1, 2, 7, 11, 14, 19, 22, 38, 77, 133, 154, 209, 266, 418, 1463, 2926. There are 16 integers that are factors of 2926. The greatest factor of 2926 is 2926.

3. What are the Factors of 2933?

Answer: Factors of 2933 are 1, 7, 419, 2933. There are 4 integers that are factors of 2933. The greatest factor of 2933 is 2933.

4. How to Find the GCF of 2926 and 2933?

Answer:

Greatest Common Factor of 2926 and 2933 = 7

Step 1: Find the prime factorization of 2926

2926 = 2 x 7 x 11 x 19

Step 2: Find the prime factorization of 2933

2933 = 7 x 419

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 2926 and 2933 is 7