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 4173, 4174 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4173 and 4174 is 1.
GCF(4173,4174) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 4174
2 | 4174 |
2087 | 2087 |
1 |
Prime factors of 4174 are 2,2087. Prime factorization of 4174 in exponential form is:
4174 = 21×20871
∴ So by taking common prime factors GCF of 4173 and 4174 is 1
Factors of 4173
List of positive integer factors of 4173 that divides 4173 without a remainder.
1,3,13,39,107,321,1391,4173
Factors of 4174
List of positive integer factors of 4174 that divides 4174 without a remainder.
1,2,2087,4174
Greatest Common Factor
We found the factors and prime factorization of 4173 and 4174. The biggest common factor number is the GCF number.
So the greatest common factor 4173 and 4174 is 1.
Also check out the Least Common Multiple of 4173 and 4174
(i) The GCF of 4173 and 4174 is associative
GCF of 4173 and 4174 = GCF of 4174 and 4173
1. What is the GCF of 4173 and 4174?
Answer: GCF of 4173 and 4174 is 1.
2. 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.
3. What are the Factors of 4174?
Answer: Factors of 4174 are 1, 2, 2087, 4174. There are 4 integers that are factors of 4174. The greatest factor of 4174 is 4174.
4. How to Find the GCF of 4173 and 4174?
Answer:
Greatest Common Factor of 4173 and 4174 = 1
Step 1: Find the prime factorization of 4173
4173 = 3 x 13 x 107
Step 2: Find the prime factorization of 4174
4174 = 2 x 2087
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 4173 and 4174 is 1