Greatest Common Factor of 2710 and 2713

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 2710, 2713 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2710 and 2713 is 1.

GCF(2710,2713) = 1

GCF of 2710 and 2713

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

GCF of:
and

Greatest Common Factor of 2710 and 2713

GCF of 2710 and 2713 is 1

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

Prime Factorization of 2713


2713 2713
1

Prime factors of 2713 are 2713. Prime factorization of 2713 in exponential form is:

2713 = 27131

∴ So by taking common prime factors GCF of 2710 and 2713 is 1

Greatest Common Factor of 2710 and 2713 by matching factors method

Factors of 2710

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

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

Factors of 2713

List of positive integer factors of 2713 that divides 2713 without a remainder.

1,2713

Greatest Common Factor

We found the factors and prime factorization of 2710 and 2713. The biggest common factor number is the GCF number.
So the greatest common factor 2710 and 2713 is 1.

Also check out the Least Common Multiple of 2710 and 2713

Properties of GCF 2710 and 2713

(i) The GCF of 2710 and 2713 is associative

GCF of 2710 and 2713 = GCF of 2713 and 2710

Related Greatest Common Factor of 2710

Related Greatest Common Factor of 2713

Frequently Asked Questions on GCF of 2710 and 2713

1. What is the GCF of 2710 and 2713?

Answer: GCF of 2710 and 2713 is 1.

2. 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.

3. What are the Factors of 2713?

Answer: Factors of 2713 are 1, 2713. There are 2 integers that are factors of 2713. The greatest factor of 2713 is 2713.

4. How to Find the GCF of 2710 and 2713?

Answer:

Greatest Common Factor of 2710 and 2713 = 1

Step 1: Find the prime factorization of 2710

2710 = 2 x 5 x 271

Step 2: Find the prime factorization of 2713

2713 = 2713

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2710 and 2713 is 1