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 5719, 5724 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5719 and 5724 is 1.
GCF(5719,5724) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5719
7 | 5719 |
19 | 817 |
43 | 43 |
1 |
Prime factors of 5719 are 7,19,43. Prime factorization of 5719 in exponential form is:
5719 = 71×191×431
Prime Factorization of 5724
2 | 5724 |
2 | 2862 |
3 | 1431 |
3 | 477 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 5724 are 2,3,53. Prime factorization of 5724 in exponential form is:
5724 = 22×33×531
∴ So by taking common prime factors GCF of 5719 and 5724 is 1
Factors of 5719
List of positive integer factors of 5719 that divides 5719 without a remainder.
1,7,19,43,133,301,817,5719
Factors of 5724
List of positive integer factors of 5724 that divides 5724 without a remainder.
1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724
Greatest Common Factor
We found the factors and prime factorization of 5719 and 5724. The biggest common factor number is the GCF number.
So the greatest common factor 5719 and 5724 is 1.
Also check out the Least Common Multiple of 5719 and 5724
(i) The GCF of 5719 and 5724 is associative
GCF of 5719 and 5724 = GCF of 5724 and 5719
1. What is the GCF of 5719 and 5724?
Answer: GCF of 5719 and 5724 is 1.
2. What are the Factors of 5719?
Answer: Factors of 5719 are 1, 7, 19, 43, 133, 301, 817, 5719. There are 8 integers that are factors of 5719. The greatest factor of 5719 is 5719.
3. What are the Factors of 5724?
Answer: Factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724. There are 24 integers that are factors of 5724. The greatest factor of 5724 is 5724.
4. How to Find the GCF of 5719 and 5724?
Answer:
Greatest Common Factor of 5719 and 5724 = 1
Step 1: Find the prime factorization of 5719
5719 = 7 x 19 x 43
Step 2: Find the prime factorization of 5724
5724 = 2 x 2 x 3 x 3 x 3 x 53
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 5719 and 5724 is 1