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 4705, 4710 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4705 and 4710 is 5.
GCF(4705,4710) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4705
5 | 4705 |
941 | 941 |
1 |
Prime factors of 4705 are 5,941. Prime factorization of 4705 in exponential form is:
4705 = 51×9411
Prime Factorization of 4710
2 | 4710 |
3 | 2355 |
5 | 785 |
157 | 157 |
1 |
Prime factors of 4710 are 2,3,5,157. Prime factorization of 4710 in exponential form is:
4710 = 21×31×51×1571
∴ So by taking common prime factors GCF of 4705 and 4710 is 5
Factors of 4705
List of positive integer factors of 4705 that divides 4705 without a remainder.
1,5,941,4705
Factors of 4710
List of positive integer factors of 4710 that divides 4710 without a remainder.
1,2,3,5,6,10,15,30,157,314,471,785,942,1570,2355,4710
Greatest Common Factor
We found the factors and prime factorization of 4705 and 4710. The biggest common factor number is the GCF number.
So the greatest common factor 4705 and 4710 is 5.
Also check out the Least Common Multiple of 4705 and 4710
(i) The GCF of 4705 and 4710 is associative
GCF of 4705 and 4710 = GCF of 4710 and 4705
1. What is the GCF of 4705 and 4710?
Answer: GCF of 4705 and 4710 is 5.
2. What are the Factors of 4705?
Answer: Factors of 4705 are 1, 5, 941, 4705. There are 4 integers that are factors of 4705. The greatest factor of 4705 is 4705.
3. What are the Factors of 4710?
Answer: Factors of 4710 are 1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710. There are 16 integers that are factors of 4710. The greatest factor of 4710 is 4710.
4. How to Find the GCF of 4705 and 4710?
Answer:
Greatest Common Factor of 4705 and 4710 = 5
Step 1: Find the prime factorization of 4705
4705 = 5 x 941
Step 2: Find the prime factorization of 4710
4710 = 2 x 3 x 5 x 157
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 4705 and 4710 is 5