Greatest Common Factor of 2789 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 2789, 2790 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2789 and 2790 is 1.

GCF(2789,2790) = 1

GCF of 2789 and 2790

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

GCF of:
and

Greatest Common Factor of 2789 and 2790

GCF of 2789 and 2790 is 1

Prime Factorization of 2789


2789 2789
1

Prime factors of 2789 are 2789. Prime factorization of 2789 in exponential form is:

2789 = 27891

Prime Factorization of 2790


2 2790
3 1395
3 465
5 155
31 31
1

Prime factors of 2790 are 2.Prime factorization of 2790 in exponential form is:

2790 = 21×32×51×311

∴ So by taking common prime factors GCF of 2789 and 2790 is 1

Greatest Common Factor of 2789 and 2790 by matching factors method

Factors of 2789

List of positive integer factors of 2789 that divides 2789 without a remainder.

1,2789

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 2789 and 2790. The biggest common factor number is the GCF number.
So the greatest common factor 2789 and 2790 is 1.

Also check out the Least Common Multiple of 2789 and 2790

Properties of GCF 2789 and 2790

(i) The GCF of 2789 and 2790 is associative

GCF of 2789 and 2790 = GCF of 2790 and 2789

Frequently Asked Questions on GCF of 2789 and 2790

1. What is the GCF of 2789 and 2790?

Answer: GCF of 2789 and 2790 is 1.

2. What are the Factors of 2789?

Answer: Factors of 2789 are 1, 2789. There are 2 integers that are factors of 2789. The greatest factor of 2789 is 2789.

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 2789 and 2790?

Answer:

Greatest Common Factor of 2789 and 2790 = 1

Step 1: Find the prime factorization of 2789

2789 = 2789

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 = = 1

Step 4: Therefore, the greatest common factor of 2789 and 2790 is 1