Greatest Common Factor of 2690 and 2695

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, 2695 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2690 and 2695 is 5.

GCF(2690,2695) = 5

GCF of 2690 and 2695

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

GCF of:
and

Greatest Common Factor of 2690 and 2695

GCF of 2690 and 2695 is 5

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 2695


5 2695
7 539
7 77
11 11
1

Prime factors of 2695 are 5,7,11. Prime factorization of 2695 in exponential form is:

2695 = 51×72×111

∴ So by taking common prime factors GCF of 2690 and 2695 is 5

Greatest Common Factor of 2690 and 2695 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 2695

List of positive integer factors of 2695 that divides 2695 without a remainder.

1,5,7,11,35,49,55,77,245,385,539,2695

Greatest Common Factor

We found the factors and prime factorization of 2690 and 2695. The biggest common factor number is the GCF number.
So the greatest common factor 2690 and 2695 is 5.

Also check out the Least Common Multiple of 2690 and 2695

Properties of GCF 2690 and 2695

(i) The GCF of 2690 and 2695 is associative

GCF of 2690 and 2695 = GCF of 2695 and 2690

Related Greatest Common Factor of 2690

Related Greatest Common Factor of 2695

Frequently Asked Questions on GCF of 2690 and 2695

1. What is the GCF of 2690 and 2695?

Answer: GCF of 2690 and 2695 is 5.

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 2695?

Answer: Factors of 2695 are 1, 5, 7, 11, 35, 49, 55, 77, 245, 385, 539, 2695. There are 12 integers that are factors of 2695. The greatest factor of 2695 is 2695.

4. How to Find the GCF of 2690 and 2695?

Answer:

Greatest Common Factor of 2690 and 2695 = 5

Step 1: Find the prime factorization of 2690

2690 = 2 x 5 x 269

Step 2: Find the prime factorization of 2695

2695 = 5 x 7 x 7 x 11

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

GCF = 5

Step 4: Therefore, the greatest common factor of 2690 and 2695 is 5