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 40165, 40172 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 40165 and 40172 is 1.
GCF(40165,40172) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 40165
5 | 40165 |
29 | 8033 |
277 | 277 |
1 |
Prime factors of 40165 are 5,29,277. Prime factorization of 40165 in exponential form is:
40165 = 51×291×2771
Prime Factorization of 40172
2 | 40172 |
2 | 20086 |
11 | 10043 |
11 | 913 |
83 | 83 |
1 |
Prime factors of 40172 are 2,11,83. Prime factorization of 40172 in exponential form is:
40172 = 22×112×831
∴ So by taking common prime factors GCF of 40165 and 40172 is 1
Factors of 40165
List of positive integer factors of 40165 that divides 40165 without a remainder.
1,5,29,145,277,1385,8033,40165
Factors of 40172
List of positive integer factors of 40172 that divides 40172 without a remainder.
1,2,4,11,22,44,83,121,166,242,332,484,913,1826,3652,10043,20086,40172
Greatest Common Factor
We found the factors and prime factorization of 40165 and 40172. The biggest common factor number is the GCF number.
So the greatest common factor 40165 and 40172 is 1.
Also check out the Least Common Multiple of 40165 and 40172
(i) The GCF of 40165 and 40172 is associative
GCF of 40165 and 40172 = GCF of 40172 and 40165
1. What is the GCF of 40165 and 40172?
Answer: GCF of 40165 and 40172 is 1.
2. What are the Factors of 40165?
Answer: Factors of 40165 are 1, 5, 29, 145, 277, 1385, 8033, 40165. There are 8 integers that are factors of 40165. The greatest factor of 40165 is 40165.
3. What are the Factors of 40172?
Answer: Factors of 40172 are 1, 2, 4, 11, 22, 44, 83, 121, 166, 242, 332, 484, 913, 1826, 3652, 10043, 20086, 40172. There are 18 integers that are factors of 40172. The greatest factor of 40172 is 40172.
4. How to Find the GCF of 40165 and 40172?
Answer:
Greatest Common Factor of 40165 and 40172 = 1
Step 1: Find the prime factorization of 40165
40165 = 5 x 29 x 277
Step 2: Find the prime factorization of 40172
40172 = 2 x 2 x 11 x 11 x 83
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 40165 and 40172 is 1