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 3157, 3158 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3157 and 3158 is 1.
GCF(3157,3158) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3157
7 | 3157 |
11 | 451 |
41 | 41 |
1 |
Prime factors of 3157 are 7,11,41. Prime factorization of 3157 in exponential form is:
3157 = 71×111×411
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
∴ So by taking common prime factors GCF of 3157 and 3158 is 1
Factors of 3157
List of positive integer factors of 3157 that divides 3157 without a remainder.
1,7,11,41,77,287,451,3157
Factors of 3158
List of positive integer factors of 3158 that divides 3158 without a remainder.
1,2,1579,3158
Greatest Common Factor
We found the factors and prime factorization of 3157 and 3158. The biggest common factor number is the GCF number.
So the greatest common factor 3157 and 3158 is 1.
Also check out the Least Common Multiple of 3157 and 3158
(i) The GCF of 3157 and 3158 is associative
GCF of 3157 and 3158 = GCF of 3158 and 3157
1. What is the GCF of 3157 and 3158?
Answer: GCF of 3157 and 3158 is 1.
2. What are the Factors of 3157?
Answer: Factors of 3157 are 1, 7, 11, 41, 77, 287, 451, 3157. There are 8 integers that are factors of 3157. The greatest factor of 3157 is 3157.
3. 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.
4. How to Find the GCF of 3157 and 3158?
Answer:
Greatest Common Factor of 3157 and 3158 = 1
Step 1: Find the prime factorization of 3157
3157 = 7 x 11 x 41
Step 2: Find the prime factorization of 3158
3158 = 2 x 1579
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 3157 and 3158 is 1