Greatest Common Factor of 2690 and 2696

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 2690, 2696 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2690 and 2696 is 2.

GCF(2690,2696) = 2

GCF of 2690 and 2696

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

GCF of:
and

Greatest Common Factor of 2690 and 2696

GCF of 2690 and 2696 is 2

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

Prime Factorization of 2696


2 2696
2 1348
2 674
337 337
1

Prime factors of 2696 are 2,337. Prime factorization of 2696 in exponential form is:

2696 = 23×3371

∴ So by taking common prime factors GCF of 2690 and 2696 is 2

Greatest Common Factor of 2690 and 2696 by matching factors method

Factors of 2690

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

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

Factors of 2696

List of positive integer factors of 2696 that divides 2696 without a remainder.

1,2,4,8,337,674,1348,2696

Greatest Common Factor

We found the factors and prime factorization of 2690 and 2696. The biggest common factor number is the GCF number.
So the greatest common factor 2690 and 2696 is 2.

Also check out the Least Common Multiple of 2690 and 2696

Properties of GCF 2690 and 2696

(i) The GCF of 2690 and 2696 is associative

GCF of 2690 and 2696 = GCF of 2696 and 2690

Related Greatest Common Factor of 2690

Related Greatest Common Factor of 2696

Frequently Asked Questions on GCF of 2690 and 2696

1. What is the GCF of 2690 and 2696?

Answer: GCF of 2690 and 2696 is 2.

2. 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.

3. What are the Factors of 2696?

Answer: Factors of 2696 are 1, 2, 4, 8, 337, 674, 1348, 2696. There are 8 integers that are factors of 2696. The greatest factor of 2696 is 2696.

4. How to Find the GCF of 2690 and 2696?

Answer:

Greatest Common Factor of 2690 and 2696 = 2

Step 1: Find the prime factorization of 2690

2690 = 2 x 5 x 269

Step 2: Find the prime factorization of 2696

2696 = 2 x 2 x 2 x 337

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 2690 and 2696 is 2