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 2158, 2163 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2158 and 2163 is 1.
GCF(2158,2163) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2158
2 | 2158 |
13 | 1079 |
83 | 83 |
1 |
Prime factors of 2158 are 2,13,83. Prime factorization of 2158 in exponential form is:
2158 = 21×131×831
Prime Factorization of 2163
3 | 2163 |
7 | 721 |
103 | 103 |
1 |
Prime factors of 2163 are 3,7,103. Prime factorization of 2163 in exponential form is:
2163 = 31×71×1031
∴ So by taking common prime factors GCF of 2158 and 2163 is 1
Factors of 2158
List of positive integer factors of 2158 that divides 2158 without a remainder.
1,2,13,26,83,166,1079,2158
Factors of 2163
List of positive integer factors of 2163 that divides 2163 without a remainder.
1,3,7,21,103,309,721,2163
Greatest Common Factor
We found the factors and prime factorization of 2158 and 2163. The biggest common factor number is the GCF number.
So the greatest common factor 2158 and 2163 is 1.
Also check out the Least Common Multiple of 2158 and 2163
(i) The GCF of 2158 and 2163 is associative
GCF of 2158 and 2163 = GCF of 2163 and 2158
1. What is the GCF of 2158 and 2163?
Answer: GCF of 2158 and 2163 is 1.
2. What are the Factors of 2158?
Answer: Factors of 2158 are 1, 2, 13, 26, 83, 166, 1079, 2158. There are 8 integers that are factors of 2158. The greatest factor of 2158 is 2158.
3. What are the Factors of 2163?
Answer: Factors of 2163 are 1, 3, 7, 21, 103, 309, 721, 2163. There are 8 integers that are factors of 2163. The greatest factor of 2163 is 2163.
4. How to Find the GCF of 2158 and 2163?
Answer:
Greatest Common Factor of 2158 and 2163 = 1
Step 1: Find the prime factorization of 2158
2158 = 2 x 13 x 83
Step 2: Find the prime factorization of 2163
2163 = 3 x 7 x 103
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 2158 and 2163 is 1