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 4795, 4797 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4795 and 4797 is 1.
GCF(4795,4797) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4795
5 | 4795 |
7 | 959 |
137 | 137 |
1 |
Prime factors of 4795 are 5,7,137. Prime factorization of 4795 in exponential form is:
4795 = 51×71×1371
Prime Factorization of 4797
3 | 4797 |
3 | 1599 |
13 | 533 |
41 | 41 |
1 |
Prime factors of 4797 are 3,13,41. Prime factorization of 4797 in exponential form is:
4797 = 32×131×411
∴ So by taking common prime factors GCF of 4795 and 4797 is 1
Factors of 4795
List of positive integer factors of 4795 that divides 4795 without a remainder.
1,5,7,35,137,685,959,4795
Factors of 4797
List of positive integer factors of 4797 that divides 4797 without a remainder.
1,3,9,13,39,41,117,123,369,533,1599,4797
Greatest Common Factor
We found the factors and prime factorization of 4795 and 4797. The biggest common factor number is the GCF number.
So the greatest common factor 4795 and 4797 is 1.
Also check out the Least Common Multiple of 4795 and 4797
(i) The GCF of 4795 and 4797 is associative
GCF of 4795 and 4797 = GCF of 4797 and 4795
1. What is the GCF of 4795 and 4797?
Answer: GCF of 4795 and 4797 is 1.
2. What are the Factors of 4795?
Answer: Factors of 4795 are 1, 5, 7, 35, 137, 685, 959, 4795. There are 8 integers that are factors of 4795. The greatest factor of 4795 is 4795.
3. What are the Factors of 4797?
Answer: Factors of 4797 are 1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797. There are 12 integers that are factors of 4797. The greatest factor of 4797 is 4797.
4. How to Find the GCF of 4795 and 4797?
Answer:
Greatest Common Factor of 4795 and 4797 = 1
Step 1: Find the prime factorization of 4795
4795 = 5 x 7 x 137
Step 2: Find the prime factorization of 4797
4797 = 3 x 3 x 13 x 41
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 4795 and 4797 is 1