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 4164, 4171 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4164 and 4171 is 1.
GCF(4164,4171) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4164
2 | 4164 |
2 | 2082 |
3 | 1041 |
347 | 347 |
1 |
Prime factors of 4164 are 2,3,347. Prime factorization of 4164 in exponential form is:
4164 = 22×31×3471
Prime Factorization of 4171
43 | 4171 |
97 | 97 |
1 |
Prime factors of 4171 are 43,97. Prime factorization of 4171 in exponential form is:
4171 = 431×971
∴ So by taking common prime factors GCF of 4164 and 4171 is 1
Factors of 4164
List of positive integer factors of 4164 that divides 4164 without a remainder.
1,2,3,4,6,12,347,694,1041,1388,2082,4164
Factors of 4171
List of positive integer factors of 4171 that divides 4171 without a remainder.
1,43,97,4171
Greatest Common Factor
We found the factors and prime factorization of 4164 and 4171. The biggest common factor number is the GCF number.
So the greatest common factor 4164 and 4171 is 1.
Also check out the Least Common Multiple of 4164 and 4171
(i) The GCF of 4164 and 4171 is associative
GCF of 4164 and 4171 = GCF of 4171 and 4164
1. What is the GCF of 4164 and 4171?
Answer: GCF of 4164 and 4171 is 1.
2. What are the Factors of 4164?
Answer: Factors of 4164 are 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164. There are 12 integers that are factors of 4164. The greatest factor of 4164 is 4164.
3. What are the Factors of 4171?
Answer: Factors of 4171 are 1, 43, 97, 4171. There are 4 integers that are factors of 4171. The greatest factor of 4171 is 4171.
4. How to Find the GCF of 4164 and 4171?
Answer:
Greatest Common Factor of 4164 and 4171 = 1
Step 1: Find the prime factorization of 4164
4164 = 2 x 2 x 3 x 347
Step 2: Find the prime factorization of 4171
4171 = 43 x 97
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 4164 and 4171 is 1