Greatest Common Factor of 5708 and 5714

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 5708, 5714 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5708 and 5714 is 2.

GCF(5708,5714) = 2

GCF of 5708 and 5714

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

GCF of:
and

Greatest Common Factor of 5708 and 5714

GCF of 5708 and 5714 is 2

Prime Factorization of 5708


2 5708
2 2854
1427 1427
1

Prime factors of 5708 are 2,1427. Prime factorization of 5708 in exponential form is:

5708 = 22×14271

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

∴ So by taking common prime factors GCF of 5708 and 5714 is 2

Greatest Common Factor of 5708 and 5714 by matching factors method

Factors of 5708

List of positive integer factors of 5708 that divides 5708 without a remainder.

1,2,4,1427,2854,5708

Factors of 5714

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

1,2,2857,5714

Greatest Common Factor

We found the factors and prime factorization of 5708 and 5714. The biggest common factor number is the GCF number.
So the greatest common factor 5708 and 5714 is 2.

Also check out the Least Common Multiple of 5708 and 5714

Properties of GCF 5708 and 5714

(i) The GCF of 5708 and 5714 is associative

GCF of 5708 and 5714 = GCF of 5714 and 5708

Related Greatest Common Factor of 5708

Related Greatest Common Factor of 5714

Frequently Asked Questions on GCF of 5708 and 5714

1. What is the GCF of 5708 and 5714?

Answer: GCF of 5708 and 5714 is 2.

2. What are the Factors of 5708?

Answer: Factors of 5708 are 1, 2, 4, 1427, 2854, 5708. There are 6 integers that are factors of 5708. The greatest factor of 5708 is 5708.

3. 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.

4. How to Find the GCF of 5708 and 5714?

Answer:

Greatest Common Factor of 5708 and 5714 = 2

Step 1: Find the prime factorization of 5708

5708 = 2 x 2 x 1427

Step 2: Find the prime factorization of 5714

5714 = 2 x 2857

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 5708 and 5714 is 2