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 8743, 8745 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8743 and 8745 is 1.
GCF(8743,8745) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8743
7 | 8743 |
1249 | 1249 |
1 |
Prime factors of 8743 are 7,1249. Prime factorization of 8743 in exponential form is:
8743 = 71×12491
Prime Factorization of 8745
3 | 8745 |
5 | 2915 |
11 | 583 |
53 | 53 |
1 |
Prime factors of 8745 are 3,5,11,53. Prime factorization of 8745 in exponential form is:
8745 = 31×51×111×531
∴ So by taking common prime factors GCF of 8743 and 8745 is 1
Factors of 8743
List of positive integer factors of 8743 that divides 8743 without a remainder.
1,7,1249,8743
Factors of 8745
List of positive integer factors of 8745 that divides 8745 without a remainder.
1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745
Greatest Common Factor
We found the factors and prime factorization of 8743 and 8745. The biggest common factor number is the GCF number.
So the greatest common factor 8743 and 8745 is 1.
Also check out the Least Common Multiple of 8743 and 8745
(i) The GCF of 8743 and 8745 is associative
GCF of 8743 and 8745 = GCF of 8745 and 8743
1. What is the GCF of 8743 and 8745?
Answer: GCF of 8743 and 8745 is 1.
2. What are the Factors of 8743?
Answer: Factors of 8743 are 1, 7, 1249, 8743. There are 4 integers that are factors of 8743. The greatest factor of 8743 is 8743.
3. What are the Factors of 8745?
Answer: Factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745. There are 16 integers that are factors of 8745. The greatest factor of 8745 is 8745.
4. How to Find the GCF of 8743 and 8745?
Answer:
Greatest Common Factor of 8743 and 8745 = 1
Step 1: Find the prime factorization of 8743
8743 = 7 x 1249
Step 2: Find the prime factorization of 8745
8745 = 3 x 5 x 11 x 53
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 8743 and 8745 is 1