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 5708, 5716 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5708 and 5716 is 4.
GCF(5708,5716) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5708
2 | 5708 |
2 | 2854 |
1427 | 1427 |
1 |
Prime factors of 5708 are 2,1427. Prime factorization of 5708 in exponential form is:
5708 = 22×14271
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
∴ So by taking common prime factors GCF of 5708 and 5716 is 4
Factors of 5708
List of positive integer factors of 5708 that divides 5708 without a remainder.
1,2,4,1427,2854,5708
Factors of 5716
List of positive integer factors of 5716 that divides 5716 without a remainder.
1,2,4,1429,2858,5716
Greatest Common Factor
We found the factors and prime factorization of 5708 and 5716. The biggest common factor number is the GCF number.
So the greatest common factor 5708 and 5716 is 4.
Also check out the Least Common Multiple of 5708 and 5716
(i) The GCF of 5708 and 5716 is associative
GCF of 5708 and 5716 = GCF of 5716 and 5708
1. What is the GCF of 5708 and 5716?
Answer: GCF of 5708 and 5716 is 4.
2. What are the Factors of 5708?
Answer: Factors of 5708 are 1, 2, 4, 1427, 2854, 5708. There are 6 integers that are factors of 5708. The greatest factor of 5708 is 5708.
3. 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.
4. How to Find the GCF of 5708 and 5716?
Answer:
Greatest Common Factor of 5708 and 5716 = 4
Step 1: Find the prime factorization of 5708
5708 = 2 x 2 x 1427
Step 2: Find the prime factorization of 5716
5716 = 2 x 2 x 1429
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 5708 and 5716 is 4