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 2175, 2181 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2175 and 2181 is 3.
GCF(2175,2181) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2175
3 | 2175 |
5 | 725 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 2175 are 3,5,29. Prime factorization of 2175 in exponential form is:
2175 = 31×52×291
Prime Factorization of 2181
3 | 2181 |
727 | 727 |
1 |
Prime factors of 2181 are 3,727. Prime factorization of 2181 in exponential form is:
2181 = 31×7271
∴ So by taking common prime factors GCF of 2175 and 2181 is 3
Factors of 2175
List of positive integer factors of 2175 that divides 2175 without a remainder.
1,3,5,15,25,29,75,87,145,435,725,2175
Factors of 2181
List of positive integer factors of 2181 that divides 2181 without a remainder.
1,3,727,2181
Greatest Common Factor
We found the factors and prime factorization of 2175 and 2181. The biggest common factor number is the GCF number.
So the greatest common factor 2175 and 2181 is 3.
Also check out the Least Common Multiple of 2175 and 2181
(i) The GCF of 2175 and 2181 is associative
GCF of 2175 and 2181 = GCF of 2181 and 2175
1. What is the GCF of 2175 and 2181?
Answer: GCF of 2175 and 2181 is 3.
2. What are the Factors of 2175?
Answer: Factors of 2175 are 1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175. There are 12 integers that are factors of 2175. The greatest factor of 2175 is 2175.
3. What are the Factors of 2181?
Answer: Factors of 2181 are 1, 3, 727, 2181. There are 4 integers that are factors of 2181. The greatest factor of 2181 is 2181.
4. How to Find the GCF of 2175 and 2181?
Answer:
Greatest Common Factor of 2175 and 2181 = 3
Step 1: Find the prime factorization of 2175
2175 = 3 x 5 x 5 x 29
Step 2: Find the prime factorization of 2181
2181 = 3 x 727
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 2175 and 2181 is 3