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 3158, 3165 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3158 and 3165 is 1.
GCF(3158,3165) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3158
2 | 3158 |
1579 | 1579 |
1 |
Prime factors of 3158 are 2,1579. Prime factorization of 3158 in exponential form is:
3158 = 21×15791
Prime Factorization of 3165
3 | 3165 |
5 | 1055 |
211 | 211 |
1 |
Prime factors of 3165 are 3,5,211. Prime factorization of 3165 in exponential form is:
3165 = 31×51×2111
∴ So by taking common prime factors GCF of 3158 and 3165 is 1
Factors of 3158
List of positive integer factors of 3158 that divides 3158 without a remainder.
1,2,1579,3158
Factors of 3165
List of positive integer factors of 3165 that divides 3165 without a remainder.
1,3,5,15,211,633,1055,3165
Greatest Common Factor
We found the factors and prime factorization of 3158 and 3165. The biggest common factor number is the GCF number.
So the greatest common factor 3158 and 3165 is 1.
Also check out the Least Common Multiple of 3158 and 3165
(i) The GCF of 3158 and 3165 is associative
GCF of 3158 and 3165 = GCF of 3165 and 3158
1. What is the GCF of 3158 and 3165?
Answer: GCF of 3158 and 3165 is 1.
2. What are the Factors of 3158?
Answer: Factors of 3158 are 1, 2, 1579, 3158. There are 4 integers that are factors of 3158. The greatest factor of 3158 is 3158.
3. What are the Factors of 3165?
Answer: Factors of 3165 are 1, 3, 5, 15, 211, 633, 1055, 3165. There are 8 integers that are factors of 3165. The greatest factor of 3165 is 3165.
4. How to Find the GCF of 3158 and 3165?
Answer:
Greatest Common Factor of 3158 and 3165 = 1
Step 1: Find the prime factorization of 3158
3158 = 2 x 1579
Step 2: Find the prime factorization of 3165
3165 = 3 x 5 x 211
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 3158 and 3165 is 1