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 2040, 2042 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2040 and 2042 is 2.
GCF(2040,2042) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2040
2 | 2040 |
2 | 1020 |
2 | 510 |
3 | 255 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 2040 are 2,3,5,17. Prime factorization of 2040 in exponential form is:
2040 = 23×31×51×171
Prime Factorization of 2042
2 | 2042 |
1021 | 1021 |
1 |
Prime factors of 2042 are 2,1021. Prime factorization of 2042 in exponential form is:
2042 = 21×10211
∴ So by taking common prime factors GCF of 2040 and 2042 is 2
Factors of 2040
List of positive integer factors of 2040 that divides 2040 without a remainder.
1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040
Factors of 2042
List of positive integer factors of 2042 that divides 2042 without a remainder.
1,2,1021,2042
Greatest Common Factor
We found the factors and prime factorization of 2040 and 2042. The biggest common factor number is the GCF number.
So the greatest common factor 2040 and 2042 is 2.
Also check out the Least Common Multiple of 2040 and 2042
(i) The GCF of 2040 and 2042 is associative
GCF of 2040 and 2042 = GCF of 2042 and 2040
1. What is the GCF of 2040 and 2042?
Answer: GCF of 2040 and 2042 is 2.
2. What are the Factors of 2040?
Answer: Factors of 2040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040. There are 32 integers that are factors of 2040. The greatest factor of 2040 is 2040.
3. What are the Factors of 2042?
Answer: Factors of 2042 are 1, 2, 1021, 2042. There are 4 integers that are factors of 2042. The greatest factor of 2042 is 2042.
4. How to Find the GCF of 2040 and 2042?
Answer:
Greatest Common Factor of 2040 and 2042 = 2
Step 1: Find the prime factorization of 2040
2040 = 2 x 2 x 2 x 3 x 5 x 17
Step 2: Find the prime factorization of 2042
2042 = 2 x 1021
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 2040 and 2042 is 2