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 35165, 35167 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 35165 and 35167 is 1.
GCF(35165,35167) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 35165
5 | 35165 |
13 | 7033 |
541 | 541 |
1 |
Prime factors of 35165 are 5,13,541. Prime factorization of 35165 in exponential form is:
35165 = 51×131×5411
Prime Factorization of 35167
11 | 35167 |
23 | 3197 |
139 | 139 |
1 |
Prime factors of 35167 are 11,23,139. Prime factorization of 35167 in exponential form is:
35167 = 111×231×1391
∴ So by taking common prime factors GCF of 35165 and 35167 is 1
Factors of 35165
List of positive integer factors of 35165 that divides 35165 without a remainder.
1,5,13,65,541,2705,7033,35165
Factors of 35167
List of positive integer factors of 35167 that divides 35167 without a remainder.
1,11,23,139,253,1529,3197,35167
Greatest Common Factor
We found the factors and prime factorization of 35165 and 35167. The biggest common factor number is the GCF number.
So the greatest common factor 35165 and 35167 is 1.
Also check out the Least Common Multiple of 35165 and 35167
(i) The GCF of 35165 and 35167 is associative
GCF of 35165 and 35167 = GCF of 35167 and 35165
1. What is the GCF of 35165 and 35167?
Answer: GCF of 35165 and 35167 is 1.
2. What are the Factors of 35165?
Answer: Factors of 35165 are 1, 5, 13, 65, 541, 2705, 7033, 35165. There are 8 integers that are factors of 35165. The greatest factor of 35165 is 35165.
3. What are the Factors of 35167?
Answer: Factors of 35167 are 1, 11, 23, 139, 253, 1529, 3197, 35167. There are 8 integers that are factors of 35167. The greatest factor of 35167 is 35167.
4. How to Find the GCF of 35165 and 35167?
Answer:
Greatest Common Factor of 35165 and 35167 = 1
Step 1: Find the prime factorization of 35165
35165 = 5 x 13 x 541
Step 2: Find the prime factorization of 35167
35167 = 11 x 23 x 139
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 35165 and 35167 is 1