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, 2183 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2175 and 2183 is 1.
GCF(2175,2183) = 1
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 2183
37 | 2183 |
59 | 59 |
1 |
Prime factors of 2183 are 37,59. Prime factorization of 2183 in exponential form is:
2183 = 371×591
∴ So by taking common prime factors GCF of 2175 and 2183 is 1
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 2183
List of positive integer factors of 2183 that divides 2183 without a remainder.
1,37,59,2183
Greatest Common Factor
We found the factors and prime factorization of 2175 and 2183. The biggest common factor number is the GCF number.
So the greatest common factor 2175 and 2183 is 1.
Also check out the Least Common Multiple of 2175 and 2183
(i) The GCF of 2175 and 2183 is associative
GCF of 2175 and 2183 = GCF of 2183 and 2175
1. What is the GCF of 2175 and 2183?
Answer: GCF of 2175 and 2183 is 1.
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 2183?
Answer: Factors of 2183 are 1, 37, 59, 2183. There are 4 integers that are factors of 2183. The greatest factor of 2183 is 2183.
4. How to Find the GCF of 2175 and 2183?
Answer:
Greatest Common Factor of 2175 and 2183 = 1
Step 1: Find the prime factorization of 2175
2175 = 3 x 5 x 5 x 29
Step 2: Find the prime factorization of 2183
2183 = 37 x 59
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 2175 and 2183 is 1