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 4875, 4883 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4875 and 4883 is 1.
GCF(4875,4883) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4875
3 | 4875 |
5 | 1625 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 4875 are 3,5,13. Prime factorization of 4875 in exponential form is:
4875 = 31×53×131
Prime Factorization of 4883
19 | 4883 |
257 | 257 |
1 |
Prime factors of 4883 are 19,257. Prime factorization of 4883 in exponential form is:
4883 = 191×2571
∴ So by taking common prime factors GCF of 4875 and 4883 is 1
Factors of 4875
List of positive integer factors of 4875 that divides 4875 without a remainder.
1,3,5,13,15,25,39,65,75,125,195,325,375,975,1625,4875
Factors of 4883
List of positive integer factors of 4883 that divides 4883 without a remainder.
1,19,257,4883
Greatest Common Factor
We found the factors and prime factorization of 4875 and 4883. The biggest common factor number is the GCF number.
So the greatest common factor 4875 and 4883 is 1.
Also check out the Least Common Multiple of 4875 and 4883
(i) The GCF of 4875 and 4883 is associative
GCF of 4875 and 4883 = GCF of 4883 and 4875
1. What is the GCF of 4875 and 4883?
Answer: GCF of 4875 and 4883 is 1.
2. What are the Factors of 4875?
Answer: Factors of 4875 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875. There are 16 integers that are factors of 4875. The greatest factor of 4875 is 4875.
3. What are the Factors of 4883?
Answer: Factors of 4883 are 1, 19, 257, 4883. There are 4 integers that are factors of 4883. The greatest factor of 4883 is 4883.
4. How to Find the GCF of 4875 and 4883?
Answer:
Greatest Common Factor of 4875 and 4883 = 1
Step 1: Find the prime factorization of 4875
4875 = 3 x 5 x 5 x 5 x 13
Step 2: Find the prime factorization of 4883
4883 = 19 x 257
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 4875 and 4883 is 1