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 40016, 40024 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 40016 and 40024 is 8.
GCF(40016,40024) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 40016
2 | 40016 |
2 | 20008 |
2 | 10004 |
2 | 5002 |
41 | 2501 |
61 | 61 |
1 |
Prime factors of 40016 are 2,41,61. Prime factorization of 40016 in exponential form is:
40016 = 24×411×611
Prime Factorization of 40024
2 | 40024 |
2 | 20012 |
2 | 10006 |
5003 | 5003 |
1 |
Prime factors of 40024 are 2,5003. Prime factorization of 40024 in exponential form is:
40024 = 23×50031
∴ So by taking common prime factors GCF of 40016 and 40024 is 8
Factors of 40016
List of positive integer factors of 40016 that divides 40016 without a remainder.
1,2,4,8,16,41,61,82,122,164,244,328,488,656,976,2501,5002,10004,20008,40016
Factors of 40024
List of positive integer factors of 40024 that divides 40024 without a remainder.
1,2,4,8,5003,10006,20012,40024
Greatest Common Factor
We found the factors and prime factorization of 40016 and 40024. The biggest common factor number is the GCF number.
So the greatest common factor 40016 and 40024 is 8.
Also check out the Least Common Multiple of 40016 and 40024
(i) The GCF of 40016 and 40024 is associative
GCF of 40016 and 40024 = GCF of 40024 and 40016
1. What is the GCF of 40016 and 40024?
Answer: GCF of 40016 and 40024 is 8.
2. What are the Factors of 40016?
Answer: Factors of 40016 are 1, 2, 4, 8, 16, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 2501, 5002, 10004, 20008, 40016. There are 20 integers that are factors of 40016. The greatest factor of 40016 is 40016.
3. What are the Factors of 40024?
Answer: Factors of 40024 are 1, 2, 4, 8, 5003, 10006, 20012, 40024. There are 8 integers that are factors of 40024. The greatest factor of 40024 is 40024.
4. How to Find the GCF of 40016 and 40024?
Answer:
Greatest Common Factor of 40016 and 40024 = 8
Step 1: Find the prime factorization of 40016
40016 = 2 x 2 x 2 x 2 x 41 x 61
Step 2: Find the prime factorization of 40024
40024 = 2 x 2 x 2 x 5003
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 40016 and 40024 is 8