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 10022, 10030 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10022 and 10030 is 2.
GCF(10022,10030) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10022
2 | 10022 |
5011 | 5011 |
1 |
Prime factors of 10022 are 2,5011. Prime factorization of 10022 in exponential form is:
10022 = 21×50111
Prime Factorization of 10030
2 | 10030 |
5 | 5015 |
17 | 1003 |
59 | 59 |
1 |
Prime factors of 10030 are 2,5,17,59. Prime factorization of 10030 in exponential form is:
10030 = 21×51×171×591
∴ So by taking common prime factors GCF of 10022 and 10030 is 2
Factors of 10022
List of positive integer factors of 10022 that divides 10022 without a remainder.
1,2,5011,10022
Factors of 10030
List of positive integer factors of 10030 that divides 10030 without a remainder.
1,2,5,10,17,34,59,85,118,170,295,590,1003,2006,5015,10030
Greatest Common Factor
We found the factors and prime factorization of 10022 and 10030. The biggest common factor number is the GCF number.
So the greatest common factor 10022 and 10030 is 2.
Also check out the Least Common Multiple of 10022 and 10030
(i) The GCF of 10022 and 10030 is associative
GCF of 10022 and 10030 = GCF of 10030 and 10022
1. What is the GCF of 10022 and 10030?
Answer: GCF of 10022 and 10030 is 2.
2. What are the Factors of 10022?
Answer: Factors of 10022 are 1, 2, 5011, 10022. There are 4 integers that are factors of 10022. The greatest factor of 10022 is 10022.
3. What are the Factors of 10030?
Answer: Factors of 10030 are 1, 2, 5, 10, 17, 34, 59, 85, 118, 170, 295, 590, 1003, 2006, 5015, 10030. There are 16 integers that are factors of 10030. The greatest factor of 10030 is 10030.
4. How to Find the GCF of 10022 and 10030?
Answer:
Greatest Common Factor of 10022 and 10030 = 2
Step 1: Find the prime factorization of 10022
10022 = 2 x 5011
Step 2: Find the prime factorization of 10030
10030 = 2 x 5 x 17 x 59
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 10022 and 10030 is 2