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 7106, 7110 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7106 and 7110 is 2.
GCF(7106,7110) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7106
2 | 7106 |
11 | 3553 |
17 | 323 |
19 | 19 |
1 |
Prime factors of 7106 are 2,11,17,19. Prime factorization of 7106 in exponential form is:
7106 = 21×111×171×191
Prime Factorization of 7110
2 | 7110 |
3 | 3555 |
3 | 1185 |
5 | 395 |
79 | 79 |
1 |
Prime factors of 7110 are 2,3,5,79. Prime factorization of 7110 in exponential form is:
7110 = 21×32×51×791
∴ So by taking common prime factors GCF of 7106 and 7110 is 2
Factors of 7106
List of positive integer factors of 7106 that divides 7106 without a remainder.
1,2,11,17,19,22,34,38,187,209,323,374,418,646,3553,7106
Factors of 7110
List of positive integer factors of 7110 that divides 7110 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,79,90,158,237,395,474,711,790,1185,1422,2370,3555,7110
Greatest Common Factor
We found the factors and prime factorization of 7106 and 7110. The biggest common factor number is the GCF number.
So the greatest common factor 7106 and 7110 is 2.
Also check out the Least Common Multiple of 7106 and 7110
(i) The GCF of 7106 and 7110 is associative
GCF of 7106 and 7110 = GCF of 7110 and 7106
1. What is the GCF of 7106 and 7110?
Answer: GCF of 7106 and 7110 is 2.
2. What are the Factors of 7106?
Answer: Factors of 7106 are 1, 2, 11, 17, 19, 22, 34, 38, 187, 209, 323, 374, 418, 646, 3553, 7106. There are 16 integers that are factors of 7106. The greatest factor of 7106 is 7106.
3. What are the Factors of 7110?
Answer: Factors of 7110 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110. There are 24 integers that are factors of 7110. The greatest factor of 7110 is 7110.
4. How to Find the GCF of 7106 and 7110?
Answer:
Greatest Common Factor of 7106 and 7110 = 2
Step 1: Find the prime factorization of 7106
7106 = 2 x 11 x 17 x 19
Step 2: Find the prime factorization of 7110
7110 = 2 x 3 x 3 x 5 x 79
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 7106 and 7110 is 2