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 4797, 4802 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4797 and 4802 is 1.
GCF(4797,4802) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 4802
2 | 4802 |
7 | 2401 |
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 4802 are 2,7. Prime factorization of 4802 in exponential form is:
4802 = 21×74
∴ So by taking common prime factors GCF of 4797 and 4802 is 1
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
Factors of 4802
List of positive integer factors of 4802 that divides 4802 without a remainder.
1,2,7,14,49,98,343,686,2401,4802
Greatest Common Factor
We found the factors and prime factorization of 4797 and 4802. The biggest common factor number is the GCF number.
So the greatest common factor 4797 and 4802 is 1.
Also check out the Least Common Multiple of 4797 and 4802
(i) The GCF of 4797 and 4802 is associative
GCF of 4797 and 4802 = GCF of 4802 and 4797
1. What is the GCF of 4797 and 4802?
Answer: GCF of 4797 and 4802 is 1.
2. 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.
3. What are the Factors of 4802?
Answer: Factors of 4802 are 1, 2, 7, 14, 49, 98, 343, 686, 2401, 4802. There are 10 integers that are factors of 4802. The greatest factor of 4802 is 4802.
4. How to Find the GCF of 4797 and 4802?
Answer:
Greatest Common Factor of 4797 and 4802 = 1
Step 1: Find the prime factorization of 4797
4797 = 3 x 3 x 13 x 41
Step 2: Find the prime factorization of 4802
4802 = 2 x 7 x 7 x 7 x 7
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 4797 and 4802 is 1