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 10040, 10046 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10040 and 10046 is 2.
GCF(10040,10046) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10040
2 | 10040 |
2 | 5020 |
2 | 2510 |
5 | 1255 |
251 | 251 |
1 |
Prime factors of 10040 are 2,5,251. Prime factorization of 10040 in exponential form is:
10040 = 23×51×2511
Prime Factorization of 10046
2 | 10046 |
5023 | 5023 |
1 |
Prime factors of 10046 are 2,5023. Prime factorization of 10046 in exponential form is:
10046 = 21×50231
∴ So by taking common prime factors GCF of 10040 and 10046 is 2
Factors of 10040
List of positive integer factors of 10040 that divides 10040 without a remainder.
1,2,4,5,8,10,20,40,251,502,1004,1255,2008,2510,5020,10040
Factors of 10046
List of positive integer factors of 10046 that divides 10046 without a remainder.
1,2,5023,10046
Greatest Common Factor
We found the factors and prime factorization of 10040 and 10046. The biggest common factor number is the GCF number.
So the greatest common factor 10040 and 10046 is 2.
Also check out the Least Common Multiple of 10040 and 10046
(i) The GCF of 10040 and 10046 is associative
GCF of 10040 and 10046 = GCF of 10046 and 10040
1. What is the GCF of 10040 and 10046?
Answer: GCF of 10040 and 10046 is 2.
2. What are the Factors of 10040?
Answer: Factors of 10040 are 1, 2, 4, 5, 8, 10, 20, 40, 251, 502, 1004, 1255, 2008, 2510, 5020, 10040. There are 16 integers that are factors of 10040. The greatest factor of 10040 is 10040.
3. What are the Factors of 10046?
Answer: Factors of 10046 are 1, 2, 5023, 10046. There are 4 integers that are factors of 10046. The greatest factor of 10046 is 10046.
4. How to Find the GCF of 10040 and 10046?
Answer:
Greatest Common Factor of 10040 and 10046 = 2
Step 1: Find the prime factorization of 10040
10040 = 2 x 2 x 2 x 5 x 251
Step 2: Find the prime factorization of 10046
10046 = 2 x 5023
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 10040 and 10046 is 2