Greatest Common Factor of 2686 and 2690

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 2686, 2690 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2686 and 2690 is 2.

GCF(2686,2690) = 2

GCF of 2686 and 2690

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

GCF of:
and

Greatest Common Factor of 2686 and 2690

GCF of 2686 and 2690 is 2

Prime Factorization of 2686


2 2686
17 1343
79 79
1

Prime factors of 2686 are 2,17,79. Prime factorization of 2686 in exponential form is:

2686 = 21×171×791

Prime Factorization of 2690


2 2690
5 1345
269 269
1

Prime factors of 2690 are 2,5,269. Prime factorization of 2690 in exponential form is:

2690 = 21×51×2691

∴ So by taking common prime factors GCF of 2686 and 2690 is 2

Greatest Common Factor of 2686 and 2690 by matching factors method

Factors of 2686

List of positive integer factors of 2686 that divides 2686 without a remainder.

1,2,17,34,79,158,1343,2686

Factors of 2690

List of positive integer factors of 2690 that divides 2690 without a remainder.

1,2,5,10,269,538,1345,2690

Greatest Common Factor

We found the factors and prime factorization of 2686 and 2690. The biggest common factor number is the GCF number.
So the greatest common factor 2686 and 2690 is 2.

Also check out the Least Common Multiple of 2686 and 2690

Properties of GCF 2686 and 2690

(i) The GCF of 2686 and 2690 is associative

GCF of 2686 and 2690 = GCF of 2690 and 2686

Related Greatest Common Factor of 2686

Related Greatest Common Factor of 2690

Frequently Asked Questions on GCF of 2686 and 2690

1. What is the GCF of 2686 and 2690?

Answer: GCF of 2686 and 2690 is 2.

2. What are the Factors of 2686?

Answer: Factors of 2686 are 1, 2, 17, 34, 79, 158, 1343, 2686. There are 8 integers that are factors of 2686. The greatest factor of 2686 is 2686.

3. What are the Factors of 2690?

Answer: Factors of 2690 are 1, 2, 5, 10, 269, 538, 1345, 2690. There are 8 integers that are factors of 2690. The greatest factor of 2690 is 2690.

4. How to Find the GCF of 2686 and 2690?

Answer:

Greatest Common Factor of 2686 and 2690 = 2

Step 1: Find the prime factorization of 2686

2686 = 2 x 17 x 79

Step 2: Find the prime factorization of 2690

2690 = 2 x 5 x 269

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 2686 and 2690 is 2