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 4715, 4723 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4715 and 4723 is 1.
GCF(4715,4723) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4715
5 | 4715 |
23 | 943 |
41 | 41 |
1 |
Prime factors of 4715 are 5,23,41. Prime factorization of 4715 in exponential form is:
4715 = 51×231×411
Prime Factorization of 4723
4723 | 4723 |
1 |
Prime factors of 4723 are 4723. Prime factorization of 4723 in exponential form is:
4723 = 47231
∴ So by taking common prime factors GCF of 4715 and 4723 is 1
Factors of 4715
List of positive integer factors of 4715 that divides 4715 without a remainder.
1,5,23,41,115,205,943,4715
Factors of 4723
List of positive integer factors of 4723 that divides 4723 without a remainder.
1,4723
Greatest Common Factor
We found the factors and prime factorization of 4715 and 4723. The biggest common factor number is the GCF number.
So the greatest common factor 4715 and 4723 is 1.
Also check out the Least Common Multiple of 4715 and 4723
(i) The GCF of 4715 and 4723 is associative
GCF of 4715 and 4723 = GCF of 4723 and 4715
1. What is the GCF of 4715 and 4723?
Answer: GCF of 4715 and 4723 is 1.
2. What are the Factors of 4715?
Answer: Factors of 4715 are 1, 5, 23, 41, 115, 205, 943, 4715. There are 8 integers that are factors of 4715. The greatest factor of 4715 is 4715.
3. What are the Factors of 4723?
Answer: Factors of 4723 are 1, 4723. There are 2 integers that are factors of 4723. The greatest factor of 4723 is 4723.
4. How to Find the GCF of 4715 and 4723?
Answer:
Greatest Common Factor of 4715 and 4723 = 1
Step 1: Find the prime factorization of 4715
4715 = 5 x 23 x 41
Step 2: Find the prime factorization of 4723
4723 = 4723
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 4715 and 4723 is 1