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 5802, 5807 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5802 and 5807 is 1.
GCF(5802,5807) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5802
2 | 5802 |
3 | 2901 |
967 | 967 |
1 |
Prime factors of 5802 are 2,3,967. Prime factorization of 5802 in exponential form is:
5802 = 21×31×9671
Prime Factorization of 5807
5807 | 5807 |
1 |
Prime factors of 5807 are 5807. Prime factorization of 5807 in exponential form is:
5807 = 58071
∴ So by taking common prime factors GCF of 5802 and 5807 is 1
Factors of 5802
List of positive integer factors of 5802 that divides 5802 without a remainder.
1,2,3,6,967,1934,2901,5802
Factors of 5807
List of positive integer factors of 5807 that divides 5807 without a remainder.
1,5807
Greatest Common Factor
We found the factors and prime factorization of 5802 and 5807. The biggest common factor number is the GCF number.
So the greatest common factor 5802 and 5807 is 1.
Also check out the Least Common Multiple of 5802 and 5807
(i) The GCF of 5802 and 5807 is associative
GCF of 5802 and 5807 = GCF of 5807 and 5802
1. What is the GCF of 5802 and 5807?
Answer: GCF of 5802 and 5807 is 1.
2. What are the Factors of 5802?
Answer: Factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802. There are 8 integers that are factors of 5802. The greatest factor of 5802 is 5802.
3. What are the Factors of 5807?
Answer: Factors of 5807 are 1, 5807. There are 2 integers that are factors of 5807. The greatest factor of 5807 is 5807.
4. How to Find the GCF of 5802 and 5807?
Answer:
Greatest Common Factor of 5802 and 5807 = 1
Step 1: Find the prime factorization of 5802
5802 = 2 x 3 x 967
Step 2: Find the prime factorization of 5807
5807 = 5807
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 5802 and 5807 is 1