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 40018, 40022 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 40018 and 40022 is 2.
GCF(40018,40022) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 40018
2 | 40018 |
11 | 20009 |
17 | 1819 |
107 | 107 |
1 |
Prime factors of 40018 are 2,11,17,107. Prime factorization of 40018 in exponential form is:
40018 = 21×111×171×1071
Prime Factorization of 40022
2 | 40022 |
20011 | 20011 |
1 |
Prime factors of 40022 are 2,20011. Prime factorization of 40022 in exponential form is:
40022 = 21×200111
∴ So by taking common prime factors GCF of 40018 and 40022 is 2
Factors of 40018
List of positive integer factors of 40018 that divides 40018 without a remainder.
1,2,11,17,22,34,107,187,214,374,1177,1819,2354,3638,20009,40018
Factors of 40022
List of positive integer factors of 40022 that divides 40022 without a remainder.
1,2,20011,40022
Greatest Common Factor
We found the factors and prime factorization of 40018 and 40022. The biggest common factor number is the GCF number.
So the greatest common factor 40018 and 40022 is 2.
Also check out the Least Common Multiple of 40018 and 40022
(i) The GCF of 40018 and 40022 is associative
GCF of 40018 and 40022 = GCF of 40022 and 40018
1. What is the GCF of 40018 and 40022?
Answer: GCF of 40018 and 40022 is 2.
2. What are the Factors of 40018?
Answer: Factors of 40018 are 1, 2, 11, 17, 22, 34, 107, 187, 214, 374, 1177, 1819, 2354, 3638, 20009, 40018. There are 16 integers that are factors of 40018. The greatest factor of 40018 is 40018.
3. What are the Factors of 40022?
Answer: Factors of 40022 are 1, 2, 20011, 40022. There are 4 integers that are factors of 40022. The greatest factor of 40022 is 40022.
4. How to Find the GCF of 40018 and 40022?
Answer:
Greatest Common Factor of 40018 and 40022 = 2
Step 1: Find the prime factorization of 40018
40018 = 2 x 11 x 17 x 107
Step 2: Find the prime factorization of 40022
40022 = 2 x 20011
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 40018 and 40022 is 2