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 10042, 10044 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10042 and 10044 is 2.
GCF(10042,10044) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10042
2 | 10042 |
5021 | 5021 |
1 |
Prime factors of 10042 are 2,5021. Prime factorization of 10042 in exponential form is:
10042 = 21×50211
Prime Factorization of 10044
2 | 10044 |
2 | 5022 |
3 | 2511 |
3 | 837 |
3 | 279 |
3 | 93 |
31 | 31 |
1 |
Prime factors of 10044 are 2,3,31. Prime factorization of 10044 in exponential form is:
10044 = 22×34×311
∴ So by taking common prime factors GCF of 10042 and 10044 is 2
Factors of 10042
List of positive integer factors of 10042 that divides 10042 without a remainder.
1,2,5021,10042
Factors of 10044
List of positive integer factors of 10044 that divides 10044 without a remainder.
1,2,3,4,6,9,12,18,27,31,36,54,62,81,93,108,124,162,186,279,324,372,558,837,1116,1674,2511,3348,5022,10044
Greatest Common Factor
We found the factors and prime factorization of 10042 and 10044. The biggest common factor number is the GCF number.
So the greatest common factor 10042 and 10044 is 2.
Also check out the Least Common Multiple of 10042 and 10044
(i) The GCF of 10042 and 10044 is associative
GCF of 10042 and 10044 = GCF of 10044 and 10042
1. What is the GCF of 10042 and 10044?
Answer: GCF of 10042 and 10044 is 2.
2. What are the Factors of 10042?
Answer: Factors of 10042 are 1, 2, 5021, 10042. There are 4 integers that are factors of 10042. The greatest factor of 10042 is 10042.
3. What are the Factors of 10044?
Answer: Factors of 10044 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 81, 93, 108, 124, 162, 186, 279, 324, 372, 558, 837, 1116, 1674, 2511, 3348, 5022, 10044. There are 30 integers that are factors of 10044. The greatest factor of 10044 is 10044.
4. How to Find the GCF of 10042 and 10044?
Answer:
Greatest Common Factor of 10042 and 10044 = 2
Step 1: Find the prime factorization of 10042
10042 = 2 x 5021
Step 2: Find the prime factorization of 10044
10044 = 2 x 2 x 3 x 3 x 3 x 3 x 31
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 10042 and 10044 is 2