Greatest Common Factor of 2709 and 2715

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 2709, 2715 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2709 and 2715 is 3.

GCF(2709,2715) = 3

GCF of 2709 and 2715

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

GCF of:
and

Greatest Common Factor of 2709 and 2715

GCF of 2709 and 2715 is 3

Prime Factorization of 2709


3 2709
3 903
7 301
43 43
1

Prime factors of 2709 are 3,7,43. Prime factorization of 2709 in exponential form is:

2709 = 32×71×431

Prime Factorization of 2715


3 2715
5 905
181 181
1

Prime factors of 2715 are 3,5,181. Prime factorization of 2715 in exponential form is:

2715 = 31×51×1811

∴ So by taking common prime factors GCF of 2709 and 2715 is 3

Greatest Common Factor of 2709 and 2715 by matching factors method

Factors of 2709

List of positive integer factors of 2709 that divides 2709 without a remainder.

1,3,7,9,21,43,63,129,301,387,903,2709

Factors of 2715

List of positive integer factors of 2715 that divides 2715 without a remainder.

1,3,5,15,181,543,905,2715

Greatest Common Factor

We found the factors and prime factorization of 2709 and 2715. The biggest common factor number is the GCF number.
So the greatest common factor 2709 and 2715 is 3.

Also check out the Least Common Multiple of 2709 and 2715

Properties of GCF 2709 and 2715

(i) The GCF of 2709 and 2715 is associative

GCF of 2709 and 2715 = GCF of 2715 and 2709

Related Greatest Common Factor of 2709

Related Greatest Common Factor of 2715

Frequently Asked Questions on GCF of 2709 and 2715

1. What is the GCF of 2709 and 2715?

Answer: GCF of 2709 and 2715 is 3.

2. What are the Factors of 2709?

Answer: Factors of 2709 are 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903, 2709. There are 12 integers that are factors of 2709. The greatest factor of 2709 is 2709.

3. What are the Factors of 2715?

Answer: Factors of 2715 are 1, 3, 5, 15, 181, 543, 905, 2715. There are 8 integers that are factors of 2715. The greatest factor of 2715 is 2715.

4. How to Find the GCF of 2709 and 2715?

Answer:

Greatest Common Factor of 2709 and 2715 = 3

Step 1: Find the prime factorization of 2709

2709 = 3 x 3 x 7 x 43

Step 2: Find the prime factorization of 2715

2715 = 3 x 5 x 181

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2709 and 2715 is 3