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 5868, 5873 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5868 and 5873 is 1.
GCF(5868,5873) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5868
2 | 5868 |
2 | 2934 |
3 | 1467 |
3 | 489 |
163 | 163 |
1 |
Prime factors of 5868 are 2,3,163. Prime factorization of 5868 in exponential form is:
5868 = 22×32×1631
Prime Factorization of 5873
7 | 5873 |
839 | 839 |
1 |
Prime factors of 5873 are 7,839. Prime factorization of 5873 in exponential form is:
5873 = 71×8391
∴ So by taking common prime factors GCF of 5868 and 5873 is 1
Factors of 5868
List of positive integer factors of 5868 that divides 5868 without a remainder.
1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868
Factors of 5873
List of positive integer factors of 5873 that divides 5873 without a remainder.
1,7,839,5873
Greatest Common Factor
We found the factors and prime factorization of 5868 and 5873. The biggest common factor number is the GCF number.
So the greatest common factor 5868 and 5873 is 1.
Also check out the Least Common Multiple of 5868 and 5873
(i) The GCF of 5868 and 5873 is associative
GCF of 5868 and 5873 = GCF of 5873 and 5868
1. What is the GCF of 5868 and 5873?
Answer: GCF of 5868 and 5873 is 1.
2. What are the Factors of 5868?
Answer: Factors of 5868 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868. There are 18 integers that are factors of 5868. The greatest factor of 5868 is 5868.
3. What are the Factors of 5873?
Answer: Factors of 5873 are 1, 7, 839, 5873. There are 4 integers that are factors of 5873. The greatest factor of 5873 is 5873.
4. How to Find the GCF of 5868 and 5873?
Answer:
Greatest Common Factor of 5868 and 5873 = 1
Step 1: Find the prime factorization of 5868
5868 = 2 x 2 x 3 x 3 x 163
Step 2: Find the prime factorization of 5873
5873 = 7 x 839
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 5868 and 5873 is 1