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, 4796 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4795 and 4796 is 1.
GCF(4795,4796) = 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 4796
2 | 4796 |
2 | 2398 |
11 | 1199 |
109 | 109 |
1 |
Prime factors of 4796 are 2,11,109. Prime factorization of 4796 in exponential form is:
4796 = 22×111×1091
∴ So by taking common prime factors GCF of 4795 and 4796 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 4796
List of positive integer factors of 4796 that divides 4796 without a remainder.
1,2,4,11,22,44,109,218,436,1199,2398,4796
Greatest Common Factor
We found the factors and prime factorization of 4795 and 4796. The biggest common factor number is the GCF number.
So the greatest common factor 4795 and 4796 is 1.
Also check out the Least Common Multiple of 4795 and 4796
(i) The GCF of 4795 and 4796 is associative
GCF of 4795 and 4796 = GCF of 4796 and 4795
1. What is the GCF of 4795 and 4796?
Answer: GCF of 4795 and 4796 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 4796?
Answer: Factors of 4796 are 1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796. There are 12 integers that are factors of 4796. The greatest factor of 4796 is 4796.
4. How to Find the GCF of 4795 and 4796?
Answer:
Greatest Common Factor of 4795 and 4796 = 1
Step 1: Find the prime factorization of 4795
4795 = 5 x 7 x 137
Step 2: Find the prime factorization of 4796
4796 = 2 x 2 x 11 x 109
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 4796 is 1