Greatest Common Factor of 5716 and 5722

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 5716, 5722 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5716 and 5722 is 2.

GCF(5716,5722) = 2

GCF of 5716 and 5722

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

GCF of:
and

Greatest Common Factor of 5716 and 5722

GCF of 5716 and 5722 is 2

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

Prime Factorization of 5722


2 5722
2861 2861
1

Prime factors of 5722 are 2,2861. Prime factorization of 5722 in exponential form is:

5722 = 21×28611

∴ So by taking common prime factors GCF of 5716 and 5722 is 2

Greatest Common Factor of 5716 and 5722 by matching factors method

Factors of 5716

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

1,2,4,1429,2858,5716

Factors of 5722

List of positive integer factors of 5722 that divides 5722 without a remainder.

1,2,2861,5722

Greatest Common Factor

We found the factors and prime factorization of 5716 and 5722. The biggest common factor number is the GCF number.
So the greatest common factor 5716 and 5722 is 2.

Also check out the Least Common Multiple of 5716 and 5722

Properties of GCF 5716 and 5722

(i) The GCF of 5716 and 5722 is associative

GCF of 5716 and 5722 = GCF of 5722 and 5716

Related Greatest Common Factor of 5716

Related Greatest Common Factor of 5722

Frequently Asked Questions on GCF of 5716 and 5722

1. What is the GCF of 5716 and 5722?

Answer: GCF of 5716 and 5722 is 2.

2. 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.

3. What are the Factors of 5722?

Answer: Factors of 5722 are 1, 2, 2861, 5722. There are 4 integers that are factors of 5722. The greatest factor of 5722 is 5722.

4. How to Find the GCF of 5716 and 5722?

Answer:

Greatest Common Factor of 5716 and 5722 = 2

Step 1: Find the prime factorization of 5716

5716 = 2 x 2 x 1429

Step 2: Find the prime factorization of 5722

5722 = 2 x 2861

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 5716 and 5722 is 2