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, 4167 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4164 and 4167 is 3.
GCF(4164,4167) = 3
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 4167
3 | 4167 |
3 | 1389 |
463 | 463 |
1 |
Prime factors of 4167 are 3,463. Prime factorization of 4167 in exponential form is:
4167 = 32×4631
∴ So by taking common prime factors GCF of 4164 and 4167 is 3
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 4167
List of positive integer factors of 4167 that divides 4167 without a remainder.
1,3,9,463,1389,4167
Greatest Common Factor
We found the factors and prime factorization of 4164 and 4167. The biggest common factor number is the GCF number.
So the greatest common factor 4164 and 4167 is 3.
Also check out the Least Common Multiple of 4164 and 4167
(i) The GCF of 4164 and 4167 is associative
GCF of 4164 and 4167 = GCF of 4167 and 4164
1. What is the GCF of 4164 and 4167?
Answer: GCF of 4164 and 4167 is 3.
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 4167?
Answer: Factors of 4167 are 1, 3, 9, 463, 1389, 4167. There are 6 integers that are factors of 4167. The greatest factor of 4167 is 4167.
4. How to Find the GCF of 4164 and 4167?
Answer:
Greatest Common Factor of 4164 and 4167 = 3
Step 1: Find the prime factorization of 4164
4164 = 2 x 2 x 3 x 347
Step 2: Find the prime factorization of 4167
4167 = 3 x 3 x 463
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 4164 and 4167 is 3