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 8721, 8727 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8721 and 8727 is 3.
GCF(8721,8727) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8721
3 | 8721 |
3 | 2907 |
3 | 969 |
17 | 323 |
19 | 19 |
1 |
Prime factors of 8721 are 3,17,19. Prime factorization of 8721 in exponential form is:
8721 = 33×171×191
Prime Factorization of 8727
3 | 8727 |
2909 | 2909 |
1 |
Prime factors of 8727 are 3,2909. Prime factorization of 8727 in exponential form is:
8727 = 31×29091
∴ So by taking common prime factors GCF of 8721 and 8727 is 3
Factors of 8721
List of positive integer factors of 8721 that divides 8721 without a remainder.
1,3,9,17,19,27,51,57,153,171,323,459,513,969,2907,8721
Factors of 8727
List of positive integer factors of 8727 that divides 8727 without a remainder.
1,3,2909,8727
Greatest Common Factor
We found the factors and prime factorization of 8721 and 8727. The biggest common factor number is the GCF number.
So the greatest common factor 8721 and 8727 is 3.
Also check out the Least Common Multiple of 8721 and 8727
(i) The GCF of 8721 and 8727 is associative
GCF of 8721 and 8727 = GCF of 8727 and 8721
1. What is the GCF of 8721 and 8727?
Answer: GCF of 8721 and 8727 is 3.
2. What are the Factors of 8721?
Answer: Factors of 8721 are 1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907, 8721. There are 16 integers that are factors of 8721. The greatest factor of 8721 is 8721.
3. What are the Factors of 8727?
Answer: Factors of 8727 are 1, 3, 2909, 8727. There are 4 integers that are factors of 8727. The greatest factor of 8727 is 8727.
4. How to Find the GCF of 8721 and 8727?
Answer:
Greatest Common Factor of 8721 and 8727 = 3
Step 1: Find the prime factorization of 8721
8721 = 3 x 3 x 3 x 17 x 19
Step 2: Find the prime factorization of 8727
8727 = 3 x 2909
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 8721 and 8727 is 3