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 10060, 10065 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10060 and 10065 is 5.
GCF(10060,10065) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10060
2 | 10060 |
2 | 5030 |
5 | 2515 |
503 | 503 |
1 |
Prime factors of 10060 are 2,5,503. Prime factorization of 10060 in exponential form is:
10060 = 22×51×5031
Prime Factorization of 10065
3 | 10065 |
5 | 3355 |
11 | 671 |
61 | 61 |
1 |
Prime factors of 10065 are 3,5,11,61. Prime factorization of 10065 in exponential form is:
10065 = 31×51×111×611
∴ So by taking common prime factors GCF of 10060 and 10065 is 5
Factors of 10060
List of positive integer factors of 10060 that divides 10060 without a remainder.
1,2,4,5,10,20,503,1006,2012,2515,5030,10060
Factors of 10065
List of positive integer factors of 10065 that divides 10065 without a remainder.
1,3,5,11,15,33,55,61,165,183,305,671,915,2013,3355,10065
Greatest Common Factor
We found the factors and prime factorization of 10060 and 10065. The biggest common factor number is the GCF number.
So the greatest common factor 10060 and 10065 is 5.
Also check out the Least Common Multiple of 10060 and 10065
(i) The GCF of 10060 and 10065 is associative
GCF of 10060 and 10065 = GCF of 10065 and 10060
1. What is the GCF of 10060 and 10065?
Answer: GCF of 10060 and 10065 is 5.
2. What are the Factors of 10060?
Answer: Factors of 10060 are 1, 2, 4, 5, 10, 20, 503, 1006, 2012, 2515, 5030, 10060. There are 12 integers that are factors of 10060. The greatest factor of 10060 is 10060.
3. What are the Factors of 10065?
Answer: Factors of 10065 are 1, 3, 5, 11, 15, 33, 55, 61, 165, 183, 305, 671, 915, 2013, 3355, 10065. There are 16 integers that are factors of 10065. The greatest factor of 10065 is 10065.
4. How to Find the GCF of 10060 and 10065?
Answer:
Greatest Common Factor of 10060 and 10065 = 5
Step 1: Find the prime factorization of 10060
10060 = 2 x 2 x 5 x 503
Step 2: Find the prime factorization of 10065
10065 = 3 x 5 x 11 x 61
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 10060 and 10065 is 5