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 4065, 4071 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4065 and 4071 is 3.
GCF(4065,4071) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4065
3 | 4065 |
5 | 1355 |
271 | 271 |
1 |
Prime factors of 4065 are 3,5,271. Prime factorization of 4065 in exponential form is:
4065 = 31×51×2711
Prime Factorization of 4071
3 | 4071 |
23 | 1357 |
59 | 59 |
1 |
Prime factors of 4071 are 3,23,59. Prime factorization of 4071 in exponential form is:
4071 = 31×231×591
∴ So by taking common prime factors GCF of 4065 and 4071 is 3
Factors of 4065
List of positive integer factors of 4065 that divides 4065 without a remainder.
1,3,5,15,271,813,1355,4065
Factors of 4071
List of positive integer factors of 4071 that divides 4071 without a remainder.
1,3,23,59,69,177,1357,4071
Greatest Common Factor
We found the factors and prime factorization of 4065 and 4071. The biggest common factor number is the GCF number.
So the greatest common factor 4065 and 4071 is 3.
Also check out the Least Common Multiple of 4065 and 4071
(i) The GCF of 4065 and 4071 is associative
GCF of 4065 and 4071 = GCF of 4071 and 4065
1. What is the GCF of 4065 and 4071?
Answer: GCF of 4065 and 4071 is 3.
2. What are the Factors of 4065?
Answer: Factors of 4065 are 1, 3, 5, 15, 271, 813, 1355, 4065. There are 8 integers that are factors of 4065. The greatest factor of 4065 is 4065.
3. What are the Factors of 4071?
Answer: Factors of 4071 are 1, 3, 23, 59, 69, 177, 1357, 4071. There are 8 integers that are factors of 4071. The greatest factor of 4071 is 4071.
4. How to Find the GCF of 4065 and 4071?
Answer:
Greatest Common Factor of 4065 and 4071 = 3
Step 1: Find the prime factorization of 4065
4065 = 3 x 5 x 271
Step 2: Find the prime factorization of 4071
4071 = 3 x 23 x 59
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 4065 and 4071 is 3