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 4711, 4717 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4711 and 4717 is 1.
GCF(4711,4717) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4711
7 | 4711 |
673 | 673 |
1 |
Prime factors of 4711 are 7,673. Prime factorization of 4711 in exponential form is:
4711 = 71×6731
Prime Factorization of 4717
53 | 4717 |
89 | 89 |
1 |
Prime factors of 4717 are 53,89. Prime factorization of 4717 in exponential form is:
4717 = 531×891
∴ So by taking common prime factors GCF of 4711 and 4717 is 1
Factors of 4711
List of positive integer factors of 4711 that divides 4711 without a remainder.
1,7,673,4711
Factors of 4717
List of positive integer factors of 4717 that divides 4717 without a remainder.
1,53,89,4717
Greatest Common Factor
We found the factors and prime factorization of 4711 and 4717. The biggest common factor number is the GCF number.
So the greatest common factor 4711 and 4717 is 1.
Also check out the Least Common Multiple of 4711 and 4717
(i) The GCF of 4711 and 4717 is associative
GCF of 4711 and 4717 = GCF of 4717 and 4711
1. What is the GCF of 4711 and 4717?
Answer: GCF of 4711 and 4717 is 1.
2. What are the Factors of 4711?
Answer: Factors of 4711 are 1, 7, 673, 4711. There are 4 integers that are factors of 4711. The greatest factor of 4711 is 4711.
3. What are the Factors of 4717?
Answer: Factors of 4717 are 1, 53, 89, 4717. There are 4 integers that are factors of 4717. The greatest factor of 4717 is 4717.
4. How to Find the GCF of 4711 and 4717?
Answer:
Greatest Common Factor of 4711 and 4717 = 1
Step 1: Find the prime factorization of 4711
4711 = 7 x 673
Step 2: Find the prime factorization of 4717
4717 = 53 x 89
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 4711 and 4717 is 1