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 8744, 8747 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8744 and 8747 is 1.
GCF(8744,8747) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8744
2 | 8744 |
2 | 4372 |
2 | 2186 |
1093 | 1093 |
1 |
Prime factors of 8744 are 2,1093. Prime factorization of 8744 in exponential form is:
8744 = 23×10931
Prime Factorization of 8747
8747 | 8747 |
1 |
Prime factors of 8747 are 8747. Prime factorization of 8747 in exponential form is:
8747 = 87471
∴ So by taking common prime factors GCF of 8744 and 8747 is 1
Factors of 8744
List of positive integer factors of 8744 that divides 8744 without a remainder.
1,2,4,8,1093,2186,4372,8744
Factors of 8747
List of positive integer factors of 8747 that divides 8747 without a remainder.
1,8747
Greatest Common Factor
We found the factors and prime factorization of 8744 and 8747. The biggest common factor number is the GCF number.
So the greatest common factor 8744 and 8747 is 1.
Also check out the Least Common Multiple of 8744 and 8747
(i) The GCF of 8744 and 8747 is associative
GCF of 8744 and 8747 = GCF of 8747 and 8744
1. What is the GCF of 8744 and 8747?
Answer: GCF of 8744 and 8747 is 1.
2. What are the Factors of 8744?
Answer: Factors of 8744 are 1, 2, 4, 8, 1093, 2186, 4372, 8744. There are 8 integers that are factors of 8744. The greatest factor of 8744 is 8744.
3. What are the Factors of 8747?
Answer: Factors of 8747 are 1, 8747. There are 2 integers that are factors of 8747. The greatest factor of 8747 is 8747.
4. How to Find the GCF of 8744 and 8747?
Answer:
Greatest Common Factor of 8744 and 8747 = 1
Step 1: Find the prime factorization of 8744
8744 = 2 x 2 x 2 x 1093
Step 2: Find the prime factorization of 8747
8747 = 8747
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 8744 and 8747 is 1