Greatest Common Factor of 5720 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 5720, 5722 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5720 and 5722 is 2.

GCF(5720,5722) = 2

GCF of 5720 and 5722

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

GCF of:
and

Greatest Common Factor of 5720 and 5722

GCF of 5720 and 5722 is 2

Prime Factorization of 5720


2 5720
2 2860
2 1430
5 715
11 143
13 13
1

Prime factors of 5720 are 2,5,11,13. Prime factorization of 5720 in exponential form is:

5720 = 23×51×111×131

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 5720 and 5722 is 2

Greatest Common Factor of 5720 and 5722 by matching factors method

Factors of 5720

List of positive integer factors of 5720 that divides 5720 without a remainder.

1,2,4,5,8,10,11,13,20,22,26,40,44,52,55,65,88,104,110,130,143,220,260,286,440,520,572,715,1144,1430,2860,5720

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 5720 and 5722. The biggest common factor number is the GCF number.
So the greatest common factor 5720 and 5722 is 2.

Also check out the Least Common Multiple of 5720 and 5722

Properties of GCF 5720 and 5722

(i) The GCF of 5720 and 5722 is associative

GCF of 5720 and 5722 = GCF of 5722 and 5720

Related Greatest Common Factor of 5720

Related Greatest Common Factor of 5722

Frequently Asked Questions on GCF of 5720 and 5722

1. What is the GCF of 5720 and 5722?

Answer: GCF of 5720 and 5722 is 2.

2. What are the Factors of 5720?

Answer: Factors of 5720 are 1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 220, 260, 286, 440, 520, 572, 715, 1144, 1430, 2860, 5720. There are 32 integers that are factors of 5720. The greatest factor of 5720 is 5720.

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 5720 and 5722?

Answer:

Greatest Common Factor of 5720 and 5722 = 2

Step 1: Find the prime factorization of 5720

5720 = 2 x 2 x 2 x 5 x 11 x 13

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 5720 and 5722 is 2