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 10070, 10075 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10070 and 10075 is 5.
GCF(10070,10075) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10070
2 | 10070 |
5 | 5035 |
19 | 1007 |
53 | 53 |
1 |
Prime factors of 10070 are 2,5,19,53. Prime factorization of 10070 in exponential form is:
10070 = 21×51×191×531
Prime Factorization of 10075
5 | 10075 |
5 | 2015 |
13 | 403 |
31 | 31 |
1 |
Prime factors of 10075 are 5,13,31. Prime factorization of 10075 in exponential form is:
10075 = 52×131×311
∴ So by taking common prime factors GCF of 10070 and 10075 is 5
Factors of 10070
List of positive integer factors of 10070 that divides 10070 without a remainder.
1,2,5,10,19,38,53,95,106,190,265,530,1007,2014,5035,10070
Factors of 10075
List of positive integer factors of 10075 that divides 10075 without a remainder.
1,5,13,25,31,65,155,325,403,775,2015,10075
Greatest Common Factor
We found the factors and prime factorization of 10070 and 10075. The biggest common factor number is the GCF number.
So the greatest common factor 10070 and 10075 is 5.
Also check out the Least Common Multiple of 10070 and 10075
(i) The GCF of 10070 and 10075 is associative
GCF of 10070 and 10075 = GCF of 10075 and 10070
1. What is the GCF of 10070 and 10075?
Answer: GCF of 10070 and 10075 is 5.
2. What are the Factors of 10070?
Answer: Factors of 10070 are 1, 2, 5, 10, 19, 38, 53, 95, 106, 190, 265, 530, 1007, 2014, 5035, 10070. There are 16 integers that are factors of 10070. The greatest factor of 10070 is 10070.
3. What are the Factors of 10075?
Answer: Factors of 10075 are 1, 5, 13, 25, 31, 65, 155, 325, 403, 775, 2015, 10075. There are 12 integers that are factors of 10075. The greatest factor of 10075 is 10075.
4. How to Find the GCF of 10070 and 10075?
Answer:
Greatest Common Factor of 10070 and 10075 = 5
Step 1: Find the prime factorization of 10070
10070 = 2 x 5 x 19 x 53
Step 2: Find the prime factorization of 10075
10075 = 5 x 5 x 13 x 31
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 10070 and 10075 is 5