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 8935, 8943 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8935 and 8943 is 1.
GCF(8935,8943) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8935
5 | 8935 |
1787 | 1787 |
1 |
Prime factors of 8935 are 5,1787. Prime factorization of 8935 in exponential form is:
8935 = 51×17871
Prime Factorization of 8943
3 | 8943 |
11 | 2981 |
271 | 271 |
1 |
Prime factors of 8943 are 3,11,271. Prime factorization of 8943 in exponential form is:
8943 = 31×111×2711
∴ So by taking common prime factors GCF of 8935 and 8943 is 1
Factors of 8935
List of positive integer factors of 8935 that divides 8935 without a remainder.
1,5,1787,8935
Factors of 8943
List of positive integer factors of 8943 that divides 8943 without a remainder.
1,3,11,33,271,813,2981,8943
Greatest Common Factor
We found the factors and prime factorization of 8935 and 8943. The biggest common factor number is the GCF number.
So the greatest common factor 8935 and 8943 is 1.
Also check out the Least Common Multiple of 8935 and 8943
(i) The GCF of 8935 and 8943 is associative
GCF of 8935 and 8943 = GCF of 8943 and 8935
1. What is the GCF of 8935 and 8943?
Answer: GCF of 8935 and 8943 is 1.
2. What are the Factors of 8935?
Answer: Factors of 8935 are 1, 5, 1787, 8935. There are 4 integers that are factors of 8935. The greatest factor of 8935 is 8935.
3. What are the Factors of 8943?
Answer: Factors of 8943 are 1, 3, 11, 33, 271, 813, 2981, 8943. There are 8 integers that are factors of 8943. The greatest factor of 8943 is 8943.
4. How to Find the GCF of 8935 and 8943?
Answer:
Greatest Common Factor of 8935 and 8943 = 1
Step 1: Find the prime factorization of 8935
8935 = 5 x 1787
Step 2: Find the prime factorization of 8943
8943 = 3 x 11 x 271
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 8935 and 8943 is 1