Greatest Common Factor of 2782 and 2788

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 2782, 2788 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2782 and 2788 is 2.

GCF(2782,2788) = 2

GCF of 2782 and 2788

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

GCF of:
and

Greatest Common Factor of 2782 and 2788

GCF of 2782 and 2788 is 2

Prime Factorization of 2782


2 2782
13 1391
107 107
1

Prime factors of 2782 are 2,13,107. Prime factorization of 2782 in exponential form is:

2782 = 21×131×1071

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

∴ So by taking common prime factors GCF of 2782 and 2788 is 2

Greatest Common Factor of 2782 and 2788 by matching factors method

Factors of 2782

List of positive integer factors of 2782 that divides 2782 without a remainder.

1,2,13,26,107,214,1391,2782

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

Greatest Common Factor

We found the factors and prime factorization of 2782 and 2788. The biggest common factor number is the GCF number.
So the greatest common factor 2782 and 2788 is 2.

Also check out the Least Common Multiple of 2782 and 2788

Properties of GCF 2782 and 2788

(i) The GCF of 2782 and 2788 is associative

GCF of 2782 and 2788 = GCF of 2788 and 2782

Related Greatest Common Factor of 2782

Related Greatest Common Factor of 2788

Frequently Asked Questions on GCF of 2782 and 2788

1. What is the GCF of 2782 and 2788?

Answer: GCF of 2782 and 2788 is 2.

2. What are the Factors of 2782?

Answer: Factors of 2782 are 1, 2, 13, 26, 107, 214, 1391, 2782. There are 8 integers that are factors of 2782. The greatest factor of 2782 is 2782.

3. 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.

4. How to Find the GCF of 2782 and 2788?

Answer:

Greatest Common Factor of 2782 and 2788 = 2

Step 1: Find the prime factorization of 2782

2782 = 2 x 13 x 107

Step 2: Find the prime factorization of 2788

2788 = 2 x 2 x 17 x 41

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2782 and 2788 is 2