Greatest Common Factor of 8710 and 8714

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 8710, 8714 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8710 and 8714 is 2.

GCF(8710,8714) = 2

GCF of 8710 and 8714

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

GCF of:
and

Greatest Common Factor of 8710 and 8714

GCF of 8710 and 8714 is 2

Prime Factorization of 8710


2 8710
5 4355
13 871
67 67
1

Prime factors of 8710 are 2,5,13,67. Prime factorization of 8710 in exponential form is:

8710 = 21×51×131×671

Prime Factorization of 8714


2 8714
4357 4357
1

Prime factors of 8714 are 2,4357. Prime factorization of 8714 in exponential form is:

8714 = 21×43571

∴ So by taking common prime factors GCF of 8710 and 8714 is 2

Greatest Common Factor of 8710 and 8714 by matching factors method

Factors of 8710

List of positive integer factors of 8710 that divides 8710 without a remainder.

1,2,5,10,13,26,65,67,130,134,335,670,871,1742,4355,8710

Factors of 8714

List of positive integer factors of 8714 that divides 8714 without a remainder.

1,2,4357,8714

Greatest Common Factor

We found the factors and prime factorization of 8710 and 8714. The biggest common factor number is the GCF number.
So the greatest common factor 8710 and 8714 is 2.

Also check out the Least Common Multiple of 8710 and 8714

Properties of GCF 8710 and 8714

(i) The GCF of 8710 and 8714 is associative

GCF of 8710 and 8714 = GCF of 8714 and 8710

Related Greatest Common Factor of 8710

Related Greatest Common Factor of 8714

Frequently Asked Questions on GCF of 8710 and 8714

1. What is the GCF of 8710 and 8714?

Answer: GCF of 8710 and 8714 is 2.

2. What are the Factors of 8710?

Answer: Factors of 8710 are 1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710. There are 16 integers that are factors of 8710. The greatest factor of 8710 is 8710.

3. What are the Factors of 8714?

Answer: Factors of 8714 are 1, 2, 4357, 8714. There are 4 integers that are factors of 8714. The greatest factor of 8714 is 8714.

4. How to Find the GCF of 8710 and 8714?

Answer:

Greatest Common Factor of 8710 and 8714 = 2

Step 1: Find the prime factorization of 8710

8710 = 2 x 5 x 13 x 67

Step 2: Find the prime factorization of 8714

8714 = 2 x 4357

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 8710 and 8714 is 2