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 10161, 10168 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10161 and 10168 is 1.
GCF(10161,10168) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10161
3 | 10161 |
3 | 3387 |
1129 | 1129 |
1 |
Prime factors of 10161 are 3,1129. Prime factorization of 10161 in exponential form is:
10161 = 32×11291
Prime Factorization of 10168
2 | 10168 |
2 | 5084 |
2 | 2542 |
31 | 1271 |
41 | 41 |
1 |
Prime factors of 10168 are 2,31,41. Prime factorization of 10168 in exponential form is:
10168 = 23×311×411
∴ So by taking common prime factors GCF of 10161 and 10168 is 1
Factors of 10161
List of positive integer factors of 10161 that divides 10161 without a remainder.
1,3,9,1129,3387,10161
Factors of 10168
List of positive integer factors of 10168 that divides 10168 without a remainder.
1,2,4,8,31,41,62,82,124,164,248,328,1271,2542,5084,10168
Greatest Common Factor
We found the factors and prime factorization of 10161 and 10168. The biggest common factor number is the GCF number.
So the greatest common factor 10161 and 10168 is 1.
Also check out the Least Common Multiple of 10161 and 10168
(i) The GCF of 10161 and 10168 is associative
GCF of 10161 and 10168 = GCF of 10168 and 10161
1. What is the GCF of 10161 and 10168?
Answer: GCF of 10161 and 10168 is 1.
2. What are the Factors of 10161?
Answer: Factors of 10161 are 1, 3, 9, 1129, 3387, 10161. There are 6 integers that are factors of 10161. The greatest factor of 10161 is 10161.
3. What are the Factors of 10168?
Answer: Factors of 10168 are 1, 2, 4, 8, 31, 41, 62, 82, 124, 164, 248, 328, 1271, 2542, 5084, 10168. There are 16 integers that are factors of 10168. The greatest factor of 10168 is 10168.
4. How to Find the GCF of 10161 and 10168?
Answer:
Greatest Common Factor of 10161 and 10168 = 1
Step 1: Find the prime factorization of 10161
10161 = 3 x 3 x 1129
Step 2: Find the prime factorization of 10168
10168 = 2 x 2 x 2 x 31 x 41
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 10161 and 10168 is 1