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 10168, 10173 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10168 and 10173 is 1.
GCF(10168,10173) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 10173
3 | 10173 |
3391 | 3391 |
1 |
Prime factors of 10173 are 3,3391. Prime factorization of 10173 in exponential form is:
10173 = 31×33911
∴ So by taking common prime factors GCF of 10168 and 10173 is 1
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
Factors of 10173
List of positive integer factors of 10173 that divides 10173 without a remainder.
1,3,3391,10173
Greatest Common Factor
We found the factors and prime factorization of 10168 and 10173. The biggest common factor number is the GCF number.
So the greatest common factor 10168 and 10173 is 1.
Also check out the Least Common Multiple of 10168 and 10173
(i) The GCF of 10168 and 10173 is associative
GCF of 10168 and 10173 = GCF of 10173 and 10168
1. What is the GCF of 10168 and 10173?
Answer: GCF of 10168 and 10173 is 1.
2. 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.
3. What are the Factors of 10173?
Answer: Factors of 10173 are 1, 3, 3391, 10173. There are 4 integers that are factors of 10173. The greatest factor of 10173 is 10173.
4. How to Find the GCF of 10168 and 10173?
Answer:
Greatest Common Factor of 10168 and 10173 = 1
Step 1: Find the prime factorization of 10168
10168 = 2 x 2 x 2 x 31 x 41
Step 2: Find the prime factorization of 10173
10173 = 3 x 3391
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 10168 and 10173 is 1