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, 5720 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5716 and 5720 is 4.
GCF(5716,5720) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 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 5716 and 5720 is 4
Factors of 5716
List of positive integer factors of 5716 that divides 5716 without a remainder.
1,2,4,1429,2858,5716
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 5716 and 5720. The biggest common factor number is the GCF number.
So the greatest common factor 5716 and 5720 is 4.
Also check out the Least Common Multiple of 5716 and 5720
(i) The GCF of 5716 and 5720 is associative
GCF of 5716 and 5720 = GCF of 5720 and 5716
1. What is the GCF of 5716 and 5720?
Answer: GCF of 5716 and 5720 is 4.
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 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 5716 and 5720?
Answer:
Greatest Common Factor of 5716 and 5720 = 4
Step 1: Find the prime factorization of 5716
5716 = 2 x 2 x 1429
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 = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 5716 and 5720 is 4