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 40012, 40017 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 40012 and 40017 is 1.
GCF(40012,40017) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 40012
2 | 40012 |
2 | 20006 |
7 | 10003 |
1429 | 1429 |
1 |
Prime factors of 40012 are 2,7,1429. Prime factorization of 40012 in exponential form is:
40012 = 22×71×14291
Prime Factorization of 40017
3 | 40017 |
13339 | 13339 |
1 |
Prime factors of 40017 are 3,13339. Prime factorization of 40017 in exponential form is:
40017 = 31×133391
∴ So by taking common prime factors GCF of 40012 and 40017 is 1
Factors of 40012
List of positive integer factors of 40012 that divides 40012 without a remainder.
1,2,4,7,14,28,1429,2858,5716,10003,20006,40012
Factors of 40017
List of positive integer factors of 40017 that divides 40017 without a remainder.
1,3,13339,40017
Greatest Common Factor
We found the factors and prime factorization of 40012 and 40017. The biggest common factor number is the GCF number.
So the greatest common factor 40012 and 40017 is 1.
Also check out the Least Common Multiple of 40012 and 40017
(i) The GCF of 40012 and 40017 is associative
GCF of 40012 and 40017 = GCF of 40017 and 40012
1. What is the GCF of 40012 and 40017?
Answer: GCF of 40012 and 40017 is 1.
2. What are the Factors of 40012?
Answer: Factors of 40012 are 1, 2, 4, 7, 14, 28, 1429, 2858, 5716, 10003, 20006, 40012. There are 12 integers that are factors of 40012. The greatest factor of 40012 is 40012.
3. What are the Factors of 40017?
Answer: Factors of 40017 are 1, 3, 13339, 40017. There are 4 integers that are factors of 40017. The greatest factor of 40017 is 40017.
4. How to Find the GCF of 40012 and 40017?
Answer:
Greatest Common Factor of 40012 and 40017 = 1
Step 1: Find the prime factorization of 40012
40012 = 2 x 2 x 7 x 1429
Step 2: Find the prime factorization of 40017
40017 = 3 x 13339
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 40012 and 40017 is 1