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 10020, 10026 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10020 and 10026 is 6.
GCF(10020,10026) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10020
2 | 10020 |
2 | 5010 |
3 | 2505 |
5 | 835 |
167 | 167 |
1 |
Prime factors of 10020 are 2,3,5,167. Prime factorization of 10020 in exponential form is:
10020 = 22×31×51×1671
Prime Factorization of 10026
2 | 10026 |
3 | 5013 |
3 | 1671 |
557 | 557 |
1 |
Prime factors of 10026 are 2,3,557. Prime factorization of 10026 in exponential form is:
10026 = 21×32×5571
∴ So by taking common prime factors GCF of 10020 and 10026 is 6
Factors of 10020
List of positive integer factors of 10020 that divides 10020 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,167,334,501,668,835,1002,1670,2004,2505,3340,5010,10020
Factors of 10026
List of positive integer factors of 10026 that divides 10026 without a remainder.
1,2,3,6,9,18,557,1114,1671,3342,5013,10026
Greatest Common Factor
We found the factors and prime factorization of 10020 and 10026. The biggest common factor number is the GCF number.
So the greatest common factor 10020 and 10026 is 6.
Also check out the Least Common Multiple of 10020 and 10026
(i) The GCF of 10020 and 10026 is associative
GCF of 10020 and 10026 = GCF of 10026 and 10020
1. What is the GCF of 10020 and 10026?
Answer: GCF of 10020 and 10026 is 6.
2. What are the Factors of 10020?
Answer: Factors of 10020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 167, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 5010, 10020. There are 24 integers that are factors of 10020. The greatest factor of 10020 is 10020.
3. What are the Factors of 10026?
Answer: Factors of 10026 are 1, 2, 3, 6, 9, 18, 557, 1114, 1671, 3342, 5013, 10026. There are 12 integers that are factors of 10026. The greatest factor of 10026 is 10026.
4. How to Find the GCF of 10020 and 10026?
Answer:
Greatest Common Factor of 10020 and 10026 = 6
Step 1: Find the prime factorization of 10020
10020 = 2 x 2 x 3 x 5 x 167
Step 2: Find the prime factorization of 10026
10026 = 2 x 3 x 3 x 557
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 10020 and 10026 is 6