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 40006, 40014 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 40006 and 40014 is 2.
GCF(40006,40014) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 40006
2 | 40006 |
83 | 20003 |
241 | 241 |
1 |
Prime factors of 40006 are 2,83,241. Prime factorization of 40006 in exponential form is:
40006 = 21×831×2411
Prime Factorization of 40014
2 | 40014 |
3 | 20007 |
3 | 6669 |
3 | 2223 |
3 | 741 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 40014 are 2,3,13,19. Prime factorization of 40014 in exponential form is:
40014 = 21×34×131×191
∴ So by taking common prime factors GCF of 40006 and 40014 is 2
Factors of 40006
List of positive integer factors of 40006 that divides 40006 without a remainder.
1,2,83,166,241,482,20003,40006
Factors of 40014
List of positive integer factors of 40014 that divides 40014 without a remainder.
1,2,3,6,9,13,18,19,26,27,38,39,54,57,78,81,114,117,162,171,234,247,342,351,494,513,702,741,1026,1053,1482,1539,2106,2223,3078,4446,6669,13338,20007,40014
Greatest Common Factor
We found the factors and prime factorization of 40006 and 40014. The biggest common factor number is the GCF number.
So the greatest common factor 40006 and 40014 is 2.
Also check out the Least Common Multiple of 40006 and 40014
(i) The GCF of 40006 and 40014 is associative
GCF of 40006 and 40014 = GCF of 40014 and 40006
1. What is the GCF of 40006 and 40014?
Answer: GCF of 40006 and 40014 is 2.
2. What are the Factors of 40006?
Answer: Factors of 40006 are 1, 2, 83, 166, 241, 482, 20003, 40006. There are 8 integers that are factors of 40006. The greatest factor of 40006 is 40006.
3. What are the Factors of 40014?
Answer: Factors of 40014 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 27, 38, 39, 54, 57, 78, 81, 114, 117, 162, 171, 234, 247, 342, 351, 494, 513, 702, 741, 1026, 1053, 1482, 1539, 2106, 2223, 3078, 4446, 6669, 13338, 20007, 40014. There are 40 integers that are factors of 40014. The greatest factor of 40014 is 40014.
4. How to Find the GCF of 40006 and 40014?
Answer:
Greatest Common Factor of 40006 and 40014 = 2
Step 1: Find the prime factorization of 40006
40006 = 2 x 83 x 241
Step 2: Find the prime factorization of 40014
40014 = 2 x 3 x 3 x 3 x 3 x 13 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 40006 and 40014 is 2