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 7157, 7161 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7157 and 7161 is 1.
GCF(7157,7161) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7157
17 | 7157 |
421 | 421 |
1 |
Prime factors of 7157 are 17,421. Prime factorization of 7157 in exponential form is:
7157 = 171×4211
Prime Factorization of 7161
3 | 7161 |
7 | 2387 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 7161 are 3,7,11,31. Prime factorization of 7161 in exponential form is:
7161 = 31×71×111×311
∴ So by taking common prime factors GCF of 7157 and 7161 is 1
Factors of 7157
List of positive integer factors of 7157 that divides 7157 without a remainder.
1,17,421,7157
Factors of 7161
List of positive integer factors of 7161 that divides 7161 without a remainder.
1,3,7,11,21,31,33,77,93,217,231,341,651,1023,2387,7161
Greatest Common Factor
We found the factors and prime factorization of 7157 and 7161. The biggest common factor number is the GCF number.
So the greatest common factor 7157 and 7161 is 1.
Also check out the Least Common Multiple of 7157 and 7161
(i) The GCF of 7157 and 7161 is associative
GCF of 7157 and 7161 = GCF of 7161 and 7157
1. What is the GCF of 7157 and 7161?
Answer: GCF of 7157 and 7161 is 1.
2. What are the Factors of 7157?
Answer: Factors of 7157 are 1, 17, 421, 7157. There are 4 integers that are factors of 7157. The greatest factor of 7157 is 7157.
3. What are the Factors of 7161?
Answer: Factors of 7161 are 1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161. There are 16 integers that are factors of 7161. The greatest factor of 7161 is 7161.
4. How to Find the GCF of 7157 and 7161?
Answer:
Greatest Common Factor of 7157 and 7161 = 1
Step 1: Find the prime factorization of 7157
7157 = 17 x 421
Step 2: Find the prime factorization of 7161
7161 = 3 x 7 x 11 x 31
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 7157 and 7161 is 1