Greatest Common Factor of 5714 and 5716

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 5714, 5716 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5714 and 5716 is 2.

GCF(5714,5716) = 2

GCF of 5714 and 5716

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

GCF of:
and

Greatest Common Factor of 5714 and 5716

GCF of 5714 and 5716 is 2

Prime Factorization of 5714


2 5714
2857 2857
1

Prime factors of 5714 are 2,2857. Prime factorization of 5714 in exponential form is:

5714 = 21×28571

Prime Factorization of 5716


2 5716
2 2858
1429 1429
1

Prime factors of 5716 are 2,1429. Prime factorization of 5716 in exponential form is:

5716 = 22×14291

∴ So by taking common prime factors GCF of 5714 and 5716 is 2

Greatest Common Factor of 5714 and 5716 by matching factors method

Factors of 5714

List of positive integer factors of 5714 that divides 5714 without a remainder.

1,2,2857,5714

Factors of 5716

List of positive integer factors of 5716 that divides 5716 without a remainder.

1,2,4,1429,2858,5716

Greatest Common Factor

We found the factors and prime factorization of 5714 and 5716. The biggest common factor number is the GCF number.
So the greatest common factor 5714 and 5716 is 2.

Also check out the Least Common Multiple of 5714 and 5716

Properties of GCF 5714 and 5716

(i) The GCF of 5714 and 5716 is associative

GCF of 5714 and 5716 = GCF of 5716 and 5714

Related Greatest Common Factor of 5714

Related Greatest Common Factor of 5716

Frequently Asked Questions on GCF of 5714 and 5716

1. What is the GCF of 5714 and 5716?

Answer: GCF of 5714 and 5716 is 2.

2. What are the Factors of 5714?

Answer: Factors of 5714 are 1, 2, 2857, 5714. There are 4 integers that are factors of 5714. The greatest factor of 5714 is 5714.

3. What are the Factors of 5716?

Answer: Factors of 5716 are 1, 2, 4, 1429, 2858, 5716. There are 6 integers that are factors of 5716. The greatest factor of 5716 is 5716.

4. How to Find the GCF of 5714 and 5716?

Answer:

Greatest Common Factor of 5714 and 5716 = 2

Step 1: Find the prime factorization of 5714

5714 = 2 x 2857

Step 2: Find the prime factorization of 5716

5716 = 2 x 2 x 1429

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 5714 and 5716 is 2