Greatest Common Factor of 5720 and 5726

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, 5726 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5720 and 5726 is 2.

GCF(5720,5726) = 2

GCF of 5720 and 5726

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

GCF of:
and

Greatest Common Factor of 5720 and 5726

GCF of 5720 and 5726 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 5726


2 5726
7 2863
409 409
1

Prime factors of 5726 are 2,7,409. Prime factorization of 5726 in exponential form is:

5726 = 21×71×4091

∴ So by taking common prime factors GCF of 5720 and 5726 is 2

Greatest Common Factor of 5720 and 5726 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 5726

List of positive integer factors of 5726 that divides 5726 without a remainder.

1,2,7,14,409,818,2863,5726

Greatest Common Factor

We found the factors and prime factorization of 5720 and 5726. The biggest common factor number is the GCF number.
So the greatest common factor 5720 and 5726 is 2.

Also check out the Least Common Multiple of 5720 and 5726

Properties of GCF 5720 and 5726

(i) The GCF of 5720 and 5726 is associative

GCF of 5720 and 5726 = GCF of 5726 and 5720

Related Greatest Common Factor of 5720

Related Greatest Common Factor of 5726

Frequently Asked Questions on GCF of 5720 and 5726

1. What is the GCF of 5720 and 5726?

Answer: GCF of 5720 and 5726 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 5726?

Answer: Factors of 5726 are 1, 2, 7, 14, 409, 818, 2863, 5726. There are 8 integers that are factors of 5726. The greatest factor of 5726 is 5726.

4. How to Find the GCF of 5720 and 5726?

Answer:

Greatest Common Factor of 5720 and 5726 = 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 5726

5726 = 2 x 7 x 409

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 5726 is 2