Greatest Common Factor of 2784 and 2790

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 2784, 2790 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2784 and 2790 is 6.

GCF(2784,2790) = 6

GCF of 2784 and 2790

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

GCF of:
and

Greatest Common Factor of 2784 and 2790

GCF of 2784 and 2790 is 6

Prime Factorization of 2784


2 2784
2 1392
2 696
2 348
2 174
3 87
29 29
1

Prime factors of 2784 are 2,3,29. Prime factorization of 2784 in exponential form is:

2784 = 25×31×291

Prime Factorization of 2790


2 2790
3 1395
3 465
5 155
31 31
1

Prime factors of 2790 are 2,3,5,31. Prime factorization of 2790 in exponential form is:

2790 = 21×32×51×311

∴ So by taking common prime factors GCF of 2784 and 2790 is 6

Greatest Common Factor of 2784 and 2790 by matching factors method

Factors of 2784

List of positive integer factors of 2784 that divides 2784 without a remainder.

1,2,3,4,6,8,12,16,24,29,32,48,58,87,96,116,174,232,348,464,696,928,1392,2784

Factors of 2790

List of positive integer factors of 2790 that divides 2790 without a remainder.

1,2,3,5,6,9,10,15,18,30,31,45,62,90,93,155,186,279,310,465,558,930,1395,2790

Greatest Common Factor

We found the factors and prime factorization of 2784 and 2790. The biggest common factor number is the GCF number.
So the greatest common factor 2784 and 2790 is 6.

Also check out the Least Common Multiple of 2784 and 2790

Properties of GCF 2784 and 2790

(i) The GCF of 2784 and 2790 is associative

GCF of 2784 and 2790 = GCF of 2790 and 2784

Related Greatest Common Factor of 2784

Related Greatest Common Factor of 2790

Frequently Asked Questions on GCF of 2784 and 2790

1. What is the GCF of 2784 and 2790?

Answer: GCF of 2784 and 2790 is 6.

2. What are the Factors of 2784?

Answer: Factors of 2784 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392, 2784. There are 24 integers that are factors of 2784. The greatest factor of 2784 is 2784.

3. What are the Factors of 2790?

Answer: Factors of 2790 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395, 2790. There are 24 integers that are factors of 2790. The greatest factor of 2790 is 2790.

4. How to Find the GCF of 2784 and 2790?

Answer:

Greatest Common Factor of 2784 and 2790 = 6

Step 1: Find the prime factorization of 2784

2784 = 2 x 2 x 2 x 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 2790

2790 = 2 x 3 x 3 x 5 x 31

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2784 and 2790 is 6