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 8168, 8173 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8168 and 8173 is 1.
GCF(8168,8173) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8168
2 | 8168 |
2 | 4084 |
2 | 2042 |
1021 | 1021 |
1 |
Prime factors of 8168 are 2,1021. Prime factorization of 8168 in exponential form is:
8168 = 23×10211
Prime Factorization of 8173
11 | 8173 |
743 | 743 |
1 |
Prime factors of 8173 are 11,743. Prime factorization of 8173 in exponential form is:
8173 = 111×7431
∴ So by taking common prime factors GCF of 8168 and 8173 is 1
Factors of 8168
List of positive integer factors of 8168 that divides 8168 without a remainder.
1,2,4,8,1021,2042,4084,8168
Factors of 8173
List of positive integer factors of 8173 that divides 8173 without a remainder.
1,11,743,8173
Greatest Common Factor
We found the factors and prime factorization of 8168 and 8173. The biggest common factor number is the GCF number.
So the greatest common factor 8168 and 8173 is 1.
Also check out the Least Common Multiple of 8168 and 8173
(i) The GCF of 8168 and 8173 is associative
GCF of 8168 and 8173 = GCF of 8173 and 8168
1. What is the GCF of 8168 and 8173?
Answer: GCF of 8168 and 8173 is 1.
2. What are the Factors of 8168?
Answer: Factors of 8168 are 1, 2, 4, 8, 1021, 2042, 4084, 8168. There are 8 integers that are factors of 8168. The greatest factor of 8168 is 8168.
3. What are the Factors of 8173?
Answer: Factors of 8173 are 1, 11, 743, 8173. There are 4 integers that are factors of 8173. The greatest factor of 8173 is 8173.
4. How to Find the GCF of 8168 and 8173?
Answer:
Greatest Common Factor of 8168 and 8173 = 1
Step 1: Find the prime factorization of 8168
8168 = 2 x 2 x 2 x 1021
Step 2: Find the prime factorization of 8173
8173 = 11 x 743
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 8168 and 8173 is 1