Greatest Common Factor of 2705 and 2710

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 2705, 2710 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2705 and 2710 is 5.

GCF(2705,2710) = 5

GCF of 2705 and 2710

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

GCF of:
and

Greatest Common Factor of 2705 and 2710

GCF of 2705 and 2710 is 5

Prime Factorization of 2705


5 2705
541 541
1

Prime factors of 2705 are 5,541. Prime factorization of 2705 in exponential form is:

2705 = 51×5411

Prime Factorization of 2710


2 2710
5 1355
271 271
1

Prime factors of 2710 are 2,5,271. Prime factorization of 2710 in exponential form is:

2710 = 21×51×2711

∴ So by taking common prime factors GCF of 2705 and 2710 is 5

Greatest Common Factor of 2705 and 2710 by matching factors method

Factors of 2705

List of positive integer factors of 2705 that divides 2705 without a remainder.

1,5,541,2705

Factors of 2710

List of positive integer factors of 2710 that divides 2710 without a remainder.

1,2,5,10,271,542,1355,2710

Greatest Common Factor

We found the factors and prime factorization of 2705 and 2710. The biggest common factor number is the GCF number.
So the greatest common factor 2705 and 2710 is 5.

Also check out the Least Common Multiple of 2705 and 2710

Properties of GCF 2705 and 2710

(i) The GCF of 2705 and 2710 is associative

GCF of 2705 and 2710 = GCF of 2710 and 2705

Related Greatest Common Factor of 2705

Related Greatest Common Factor of 2710

Frequently Asked Questions on GCF of 2705 and 2710

1. What is the GCF of 2705 and 2710?

Answer: GCF of 2705 and 2710 is 5.

2. What are the Factors of 2705?

Answer: Factors of 2705 are 1, 5, 541, 2705. There are 4 integers that are factors of 2705. The greatest factor of 2705 is 2705.

3. What are the Factors of 2710?

Answer: Factors of 2710 are 1, 2, 5, 10, 271, 542, 1355, 2710. There are 8 integers that are factors of 2710. The greatest factor of 2710 is 2710.

4. How to Find the GCF of 2705 and 2710?

Answer:

Greatest Common Factor of 2705 and 2710 = 5

Step 1: Find the prime factorization of 2705

2705 = 5 x 541

Step 2: Find the prime factorization of 2710

2710 = 2 x 5 x 271

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 2705 and 2710 is 5