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 8718, 8720 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8718 and 8720 is 2.
GCF(8718,8720) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8718
2 | 8718 |
3 | 4359 |
1453 | 1453 |
1 |
Prime factors of 8718 are 2,3,1453. Prime factorization of 8718 in exponential form is:
8718 = 21×31×14531
Prime Factorization of 8720
2 | 8720 |
2 | 4360 |
2 | 2180 |
2 | 1090 |
5 | 545 |
109 | 109 |
1 |
Prime factors of 8720 are 2,5,109. Prime factorization of 8720 in exponential form is:
8720 = 24×51×1091
∴ So by taking common prime factors GCF of 8718 and 8720 is 2
Factors of 8718
List of positive integer factors of 8718 that divides 8718 without a remainder.
1,2,3,6,1453,2906,4359,8718
Factors of 8720
List of positive integer factors of 8720 that divides 8720 without a remainder.
1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720
Greatest Common Factor
We found the factors and prime factorization of 8718 and 8720. The biggest common factor number is the GCF number.
So the greatest common factor 8718 and 8720 is 2.
Also check out the Least Common Multiple of 8718 and 8720
(i) The GCF of 8718 and 8720 is associative
GCF of 8718 and 8720 = GCF of 8720 and 8718
1. What is the GCF of 8718 and 8720?
Answer: GCF of 8718 and 8720 is 2.
2. What are the Factors of 8718?
Answer: Factors of 8718 are 1, 2, 3, 6, 1453, 2906, 4359, 8718. There are 8 integers that are factors of 8718. The greatest factor of 8718 is 8718.
3. What are the Factors of 8720?
Answer: Factors of 8720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720. There are 20 integers that are factors of 8720. The greatest factor of 8720 is 8720.
4. How to Find the GCF of 8718 and 8720?
Answer:
Greatest Common Factor of 8718 and 8720 = 2
Step 1: Find the prime factorization of 8718
8718 = 2 x 3 x 1453
Step 2: Find the prime factorization of 8720
8720 = 2 x 2 x 2 x 2 x 5 x 109
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 8718 and 8720 is 2