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 4718, 4720 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4718 and 4720 is 2.
GCF(4718,4720) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4718
2 | 4718 |
7 | 2359 |
337 | 337 |
1 |
Prime factors of 4718 are 2,7,337. Prime factorization of 4718 in exponential form is:
4718 = 21×71×3371
Prime Factorization of 4720
2 | 4720 |
2 | 2360 |
2 | 1180 |
2 | 590 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 4720 are 2,5,59. Prime factorization of 4720 in exponential form is:
4720 = 24×51×591
∴ So by taking common prime factors GCF of 4718 and 4720 is 2
Factors of 4718
List of positive integer factors of 4718 that divides 4718 without a remainder.
1,2,7,14,337,674,2359,4718
Factors of 4720
List of positive integer factors of 4720 that divides 4720 without a remainder.
1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720
Greatest Common Factor
We found the factors and prime factorization of 4718 and 4720. The biggest common factor number is the GCF number.
So the greatest common factor 4718 and 4720 is 2.
Also check out the Least Common Multiple of 4718 and 4720
(i) The GCF of 4718 and 4720 is associative
GCF of 4718 and 4720 = GCF of 4720 and 4718
1. What is the GCF of 4718 and 4720?
Answer: GCF of 4718 and 4720 is 2.
2. What are the Factors of 4718?
Answer: Factors of 4718 are 1, 2, 7, 14, 337, 674, 2359, 4718. There are 8 integers that are factors of 4718. The greatest factor of 4718 is 4718.
3. What are the Factors of 4720?
Answer: Factors of 4720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720. There are 20 integers that are factors of 4720. The greatest factor of 4720 is 4720.
4. How to Find the GCF of 4718 and 4720?
Answer:
Greatest Common Factor of 4718 and 4720 = 2
Step 1: Find the prime factorization of 4718
4718 = 2 x 7 x 337
Step 2: Find the prime factorization of 4720
4720 = 2 x 2 x 2 x 2 x 5 x 59
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 4718 and 4720 is 2