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 10030, 10035 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10030 and 10035 is 5.
GCF(10030,10035) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 10035
3 | 10035 |
3 | 3345 |
5 | 1115 |
223 | 223 |
1 |
Prime factors of 10035 are 3,5,223. Prime factorization of 10035 in exponential form is:
10035 = 32×51×2231
∴ So by taking common prime factors GCF of 10030 and 10035 is 5
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
Factors of 10035
List of positive integer factors of 10035 that divides 10035 without a remainder.
1,3,5,9,15,45,223,669,1115,2007,3345,10035
Greatest Common Factor
We found the factors and prime factorization of 10030 and 10035. The biggest common factor number is the GCF number.
So the greatest common factor 10030 and 10035 is 5.
Also check out the Least Common Multiple of 10030 and 10035
(i) The GCF of 10030 and 10035 is associative
GCF of 10030 and 10035 = GCF of 10035 and 10030
1. What is the GCF of 10030 and 10035?
Answer: GCF of 10030 and 10035 is 5.
2. 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.
3. What are the Factors of 10035?
Answer: Factors of 10035 are 1, 3, 5, 9, 15, 45, 223, 669, 1115, 2007, 3345, 10035. There are 12 integers that are factors of 10035. The greatest factor of 10035 is 10035.
4. How to Find the GCF of 10030 and 10035?
Answer:
Greatest Common Factor of 10030 and 10035 = 5
Step 1: Find the prime factorization of 10030
10030 = 2 x 5 x 17 x 59
Step 2: Find the prime factorization of 10035
10035 = 3 x 3 x 5 x 223
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 10030 and 10035 is 5