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 4683, 4687 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4683 and 4687 is 1.
GCF(4683,4687) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4683
3 | 4683 |
7 | 1561 |
223 | 223 |
1 |
Prime factors of 4683 are 3,7,223. Prime factorization of 4683 in exponential form is:
4683 = 31×71×2231
Prime Factorization of 4687
43 | 4687 |
109 | 109 |
1 |
Prime factors of 4687 are 43,109. Prime factorization of 4687 in exponential form is:
4687 = 431×1091
∴ So by taking common prime factors GCF of 4683 and 4687 is 1
Factors of 4683
List of positive integer factors of 4683 that divides 4683 without a remainder.
1,3,7,21,223,669,1561,4683
Factors of 4687
List of positive integer factors of 4687 that divides 4687 without a remainder.
1,43,109,4687
Greatest Common Factor
We found the factors and prime factorization of 4683 and 4687. The biggest common factor number is the GCF number.
So the greatest common factor 4683 and 4687 is 1.
Also check out the Least Common Multiple of 4683 and 4687
(i) The GCF of 4683 and 4687 is associative
GCF of 4683 and 4687 = GCF of 4687 and 4683
1. What is the GCF of 4683 and 4687?
Answer: GCF of 4683 and 4687 is 1.
2. What are the Factors of 4683?
Answer: Factors of 4683 are 1, 3, 7, 21, 223, 669, 1561, 4683. There are 8 integers that are factors of 4683. The greatest factor of 4683 is 4683.
3. What are the Factors of 4687?
Answer: Factors of 4687 are 1, 43, 109, 4687. There are 4 integers that are factors of 4687. The greatest factor of 4687 is 4687.
4. How to Find the GCF of 4683 and 4687?
Answer:
Greatest Common Factor of 4683 and 4687 = 1
Step 1: Find the prime factorization of 4683
4683 = 3 x 7 x 223
Step 2: Find the prime factorization of 4687
4687 = 43 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 4683 and 4687 is 1