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 4168, 4173 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4168 and 4173 is 1.
GCF(4168,4173) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4168
2 | 4168 |
2 | 2084 |
2 | 1042 |
521 | 521 |
1 |
Prime factors of 4168 are 2,521. Prime factorization of 4168 in exponential form is:
4168 = 23×5211
Prime Factorization of 4173
3 | 4173 |
13 | 1391 |
107 | 107 |
1 |
Prime factors of 4173 are 3,13,107. Prime factorization of 4173 in exponential form is:
4173 = 31×131×1071
∴ So by taking common prime factors GCF of 4168 and 4173 is 1
Factors of 4168
List of positive integer factors of 4168 that divides 4168 without a remainder.
1,2,4,8,521,1042,2084,4168
Factors of 4173
List of positive integer factors of 4173 that divides 4173 without a remainder.
1,3,13,39,107,321,1391,4173
Greatest Common Factor
We found the factors and prime factorization of 4168 and 4173. The biggest common factor number is the GCF number.
So the greatest common factor 4168 and 4173 is 1.
Also check out the Least Common Multiple of 4168 and 4173
(i) The GCF of 4168 and 4173 is associative
GCF of 4168 and 4173 = GCF of 4173 and 4168
1. What is the GCF of 4168 and 4173?
Answer: GCF of 4168 and 4173 is 1.
2. What are the Factors of 4168?
Answer: Factors of 4168 are 1, 2, 4, 8, 521, 1042, 2084, 4168. There are 8 integers that are factors of 4168. The greatest factor of 4168 is 4168.
3. What are the Factors of 4173?
Answer: Factors of 4173 are 1, 3, 13, 39, 107, 321, 1391, 4173. There are 8 integers that are factors of 4173. The greatest factor of 4173 is 4173.
4. How to Find the GCF of 4168 and 4173?
Answer:
Greatest Common Factor of 4168 and 4173 = 1
Step 1: Find the prime factorization of 4168
4168 = 2 x 2 x 2 x 521
Step 2: Find the prime factorization of 4173
4173 = 3 x 13 x 107
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 4168 and 4173 is 1