Greatest Common Factor of 2788 and 2792

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 2788, 2792 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2788 and 2792 is 4.

GCF(2788,2792) = 4

GCF of 2788 and 2792

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

GCF of:
and

Greatest Common Factor of 2788 and 2792

GCF of 2788 and 2792 is 4

Prime Factorization of 2788


2 2788
2 1394
17 697
41 41
1

Prime factors of 2788 are 2,17,41. Prime factorization of 2788 in exponential form is:

2788 = 22×171×411

Prime Factorization of 2792


2 2792
2 1396
2 698
349 349
1

Prime factors of 2792 are 2,349. Prime factorization of 2792 in exponential form is:

2792 = 23×3491

∴ So by taking common prime factors GCF of 2788 and 2792 is 4

Greatest Common Factor of 2788 and 2792 by matching factors method

Factors of 2788

List of positive integer factors of 2788 that divides 2788 without a remainder.

1,2,4,17,34,41,68,82,164,697,1394,2788

Factors of 2792

List of positive integer factors of 2792 that divides 2792 without a remainder.

1,2,4,8,349,698,1396,2792

Greatest Common Factor

We found the factors and prime factorization of 2788 and 2792. The biggest common factor number is the GCF number.
So the greatest common factor 2788 and 2792 is 4.

Also check out the Least Common Multiple of 2788 and 2792

Properties of GCF 2788 and 2792

(i) The GCF of 2788 and 2792 is associative

GCF of 2788 and 2792 = GCF of 2792 and 2788

Related Greatest Common Factor of 2788

Related Greatest Common Factor of 2792

Frequently Asked Questions on GCF of 2788 and 2792

1. What is the GCF of 2788 and 2792?

Answer: GCF of 2788 and 2792 is 4.

2. What are the Factors of 2788?

Answer: Factors of 2788 are 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394, 2788. There are 12 integers that are factors of 2788. The greatest factor of 2788 is 2788.

3. What are the Factors of 2792?

Answer: Factors of 2792 are 1, 2, 4, 8, 349, 698, 1396, 2792. There are 8 integers that are factors of 2792. The greatest factor of 2792 is 2792.

4. How to Find the GCF of 2788 and 2792?

Answer:

Greatest Common Factor of 2788 and 2792 = 4

Step 1: Find the prime factorization of 2788

2788 = 2 x 2 x 17 x 41

Step 2: Find the prime factorization of 2792

2792 = 2 x 2 x 2 x 349

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2788 and 2792 is 4