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 4804, 4805 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4804 and 4805 is 1.
GCF(4804,4805) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4804
2 | 4804 |
2 | 2402 |
1201 | 1201 |
1 |
Prime factors of 4804 are 2,1201. Prime factorization of 4804 in exponential form is:
4804 = 22×12011
Prime Factorization of 4805
5 | 4805 |
31 | 961 |
31 | 31 |
1 |
Prime factors of 4805 are 5,31. Prime factorization of 4805 in exponential form is:
4805 = 51×312
∴ So by taking common prime factors GCF of 4804 and 4805 is 1
Factors of 4804
List of positive integer factors of 4804 that divides 4804 without a remainder.
1,2,4,1201,2402,4804
Factors of 4805
List of positive integer factors of 4805 that divides 4805 without a remainder.
1,5,31,155,961,4805
Greatest Common Factor
We found the factors and prime factorization of 4804 and 4805. The biggest common factor number is the GCF number.
So the greatest common factor 4804 and 4805 is 1.
Also check out the Least Common Multiple of 4804 and 4805
(i) The GCF of 4804 and 4805 is associative
GCF of 4804 and 4805 = GCF of 4805 and 4804
1. What is the GCF of 4804 and 4805?
Answer: GCF of 4804 and 4805 is 1.
2. What are the Factors of 4804?
Answer: Factors of 4804 are 1, 2, 4, 1201, 2402, 4804. There are 6 integers that are factors of 4804. The greatest factor of 4804 is 4804.
3. What are the Factors of 4805?
Answer: Factors of 4805 are 1, 5, 31, 155, 961, 4805. There are 6 integers that are factors of 4805. The greatest factor of 4805 is 4805.
4. How to Find the GCF of 4804 and 4805?
Answer:
Greatest Common Factor of 4804 and 4805 = 1
Step 1: Find the prime factorization of 4804
4804 = 2 x 2 x 1201
Step 2: Find the prime factorization of 4805
4805 = 5 x 31 x 31
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 4804 and 4805 is 1