Greatest Common Factor of 5715 and 5720

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 5715, 5720 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5715 and 5720 is 5.

GCF(5715,5720) = 5

GCF of 5715 and 5720

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

GCF of:
and

Greatest Common Factor of 5715 and 5720

GCF of 5715 and 5720 is 5

Prime Factorization of 5715


3 5715
3 1905
5 635
127 127
1

Prime factors of 5715 are 3,5,127. Prime factorization of 5715 in exponential form is:

5715 = 32×51×1271

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

∴ So by taking common prime factors GCF of 5715 and 5720 is 5

Greatest Common Factor of 5715 and 5720 by matching factors method

Factors of 5715

List of positive integer factors of 5715 that divides 5715 without a remainder.

1,3,5,9,15,45,127,381,635,1143,1905,5715

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

Greatest Common Factor

We found the factors and prime factorization of 5715 and 5720. The biggest common factor number is the GCF number.
So the greatest common factor 5715 and 5720 is 5.

Also check out the Least Common Multiple of 5715 and 5720

Properties of GCF 5715 and 5720

(i) The GCF of 5715 and 5720 is associative

GCF of 5715 and 5720 = GCF of 5720 and 5715

Related Greatest Common Factor of 5715

Related Greatest Common Factor of 5720

Frequently Asked Questions on GCF of 5715 and 5720

1. What is the GCF of 5715 and 5720?

Answer: GCF of 5715 and 5720 is 5.

2. What are the Factors of 5715?

Answer: Factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715. There are 12 integers that are factors of 5715. The greatest factor of 5715 is 5715.

3. 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.

4. How to Find the GCF of 5715 and 5720?

Answer:

Greatest Common Factor of 5715 and 5720 = 5

Step 1: Find the prime factorization of 5715

5715 = 3 x 3 x 5 x 127

Step 2: Find the prime factorization of 5720

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

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 5715 and 5720 is 5