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 10160, 10166 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10160 and 10166 is 2.
GCF(10160,10166) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10160
2 | 10160 |
2 | 5080 |
2 | 2540 |
2 | 1270 |
5 | 635 |
127 | 127 |
1 |
Prime factors of 10160 are 2,5,127. Prime factorization of 10160 in exponential form is:
10160 = 24×51×1271
Prime Factorization of 10166
2 | 10166 |
13 | 5083 |
17 | 391 |
23 | 23 |
1 |
Prime factors of 10166 are 2,13,17,23. Prime factorization of 10166 in exponential form is:
10166 = 21×131×171×231
∴ So by taking common prime factors GCF of 10160 and 10166 is 2
Factors of 10160
List of positive integer factors of 10160 that divides 10160 without a remainder.
1,2,4,5,8,10,16,20,40,80,127,254,508,635,1016,1270,2032,2540,5080,10160
Factors of 10166
List of positive integer factors of 10166 that divides 10166 without a remainder.
1,2,13,17,23,26,34,46,221,299,391,442,598,782,5083,10166
Greatest Common Factor
We found the factors and prime factorization of 10160 and 10166. The biggest common factor number is the GCF number.
So the greatest common factor 10160 and 10166 is 2.
Also check out the Least Common Multiple of 10160 and 10166
(i) The GCF of 10160 and 10166 is associative
GCF of 10160 and 10166 = GCF of 10166 and 10160
1. What is the GCF of 10160 and 10166?
Answer: GCF of 10160 and 10166 is 2.
2. What are the Factors of 10160?
Answer: Factors of 10160 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 127, 254, 508, 635, 1016, 1270, 2032, 2540, 5080, 10160. There are 20 integers that are factors of 10160. The greatest factor of 10160 is 10160.
3. What are the Factors of 10166?
Answer: Factors of 10166 are 1, 2, 13, 17, 23, 26, 34, 46, 221, 299, 391, 442, 598, 782, 5083, 10166. There are 16 integers that are factors of 10166. The greatest factor of 10166 is 10166.
4. How to Find the GCF of 10160 and 10166?
Answer:
Greatest Common Factor of 10160 and 10166 = 2
Step 1: Find the prime factorization of 10160
10160 = 2 x 2 x 2 x 2 x 5 x 127
Step 2: Find the prime factorization of 10166
10166 = 2 x 13 x 17 x 23
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 10160 and 10166 is 2