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 11065, 11070 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 11065 and 11070 is 5.
GCF(11065,11070) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 11065
5 | 11065 |
2213 | 2213 |
1 |
Prime factors of 11065 are 5,2213. Prime factorization of 11065 in exponential form is:
11065 = 51×22131
Prime Factorization of 11070
2 | 11070 |
3 | 5535 |
3 | 1845 |
3 | 615 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 11070 are 2,3,5,41. Prime factorization of 11070 in exponential form is:
11070 = 21×33×51×411
∴ So by taking common prime factors GCF of 11065 and 11070 is 5
Factors of 11065
List of positive integer factors of 11065 that divides 11065 without a remainder.
1,5,2213,11065
Factors of 11070
List of positive integer factors of 11070 that divides 11070 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,41,45,54,82,90,123,135,205,246,270,369,410,615,738,1107,1230,1845,2214,3690,5535,11070
Greatest Common Factor
We found the factors and prime factorization of 11065 and 11070. The biggest common factor number is the GCF number.
So the greatest common factor 11065 and 11070 is 5.
Also check out the Least Common Multiple of 11065 and 11070
(i) The GCF of 11065 and 11070 is associative
GCF of 11065 and 11070 = GCF of 11070 and 11065
1. What is the GCF of 11065 and 11070?
Answer: GCF of 11065 and 11070 is 5.
2. What are the Factors of 11065?
Answer: Factors of 11065 are 1, 5, 2213, 11065. There are 4 integers that are factors of 11065. The greatest factor of 11065 is 11065.
3. What are the Factors of 11070?
Answer: Factors of 11070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 82, 90, 123, 135, 205, 246, 270, 369, 410, 615, 738, 1107, 1230, 1845, 2214, 3690, 5535, 11070. There are 32 integers that are factors of 11070. The greatest factor of 11070 is 11070.
4. How to Find the GCF of 11065 and 11070?
Answer:
Greatest Common Factor of 11065 and 11070 = 5
Step 1: Find the prime factorization of 11065
11065 = 5 x 2213
Step 2: Find the prime factorization of 11070
11070 = 2 x 3 x 3 x 3 x 5 x 41
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 11065 and 11070 is 5