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, 8749 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8743 and 8749 is 1.
GCF(8743,8749) = 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 8749
13 | 8749 |
673 | 673 |
1 |
Prime factors of 8749 are 13,673. Prime factorization of 8749 in exponential form is:
8749 = 131×6731
∴ So by taking common prime factors GCF of 8743 and 8749 is 1
Factors of 8743
List of positive integer factors of 8743 that divides 8743 without a remainder.
1,7,1249,8743
Factors of 8749
List of positive integer factors of 8749 that divides 8749 without a remainder.
1,13,673,8749
Greatest Common Factor
We found the factors and prime factorization of 8743 and 8749. The biggest common factor number is the GCF number.
So the greatest common factor 8743 and 8749 is 1.
Also check out the Least Common Multiple of 8743 and 8749
(i) The GCF of 8743 and 8749 is associative
GCF of 8743 and 8749 = GCF of 8749 and 8743
1. What is the GCF of 8743 and 8749?
Answer: GCF of 8743 and 8749 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 8749?
Answer: Factors of 8749 are 1, 13, 673, 8749. There are 4 integers that are factors of 8749. The greatest factor of 8749 is 8749.
4. How to Find the GCF of 8743 and 8749?
Answer:
Greatest Common Factor of 8743 and 8749 = 1
Step 1: Find the prime factorization of 8743
8743 = 7 x 1249
Step 2: Find the prime factorization of 8749
8749 = 13 x 673
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 8749 is 1