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 3706, 3708 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3706 and 3708 is 2.
GCF(3706,3708) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3706
2 | 3706 |
17 | 1853 |
109 | 109 |
1 |
Prime factors of 3706 are 2,17,109. Prime factorization of 3706 in exponential form is:
3706 = 21×171×1091
Prime Factorization of 3708
2 | 3708 |
2 | 1854 |
3 | 927 |
3 | 309 |
103 | 103 |
1 |
Prime factors of 3708 are 2,3,103. Prime factorization of 3708 in exponential form is:
3708 = 22×32×1031
∴ So by taking common prime factors GCF of 3706 and 3708 is 2
Factors of 3706
List of positive integer factors of 3706 that divides 3706 without a remainder.
1,2,17,34,109,218,1853,3706
Factors of 3708
List of positive integer factors of 3708 that divides 3708 without a remainder.
1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708
Greatest Common Factor
We found the factors and prime factorization of 3706 and 3708. The biggest common factor number is the GCF number.
So the greatest common factor 3706 and 3708 is 2.
Also check out the Least Common Multiple of 3706 and 3708
(i) The GCF of 3706 and 3708 is associative
GCF of 3706 and 3708 = GCF of 3708 and 3706
1. What is the GCF of 3706 and 3708?
Answer: GCF of 3706 and 3708 is 2.
2. What are the Factors of 3706?
Answer: Factors of 3706 are 1, 2, 17, 34, 109, 218, 1853, 3706. There are 8 integers that are factors of 3706. The greatest factor of 3706 is 3706.
3. What are the Factors of 3708?
Answer: Factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708. There are 18 integers that are factors of 3708. The greatest factor of 3708 is 3708.
4. How to Find the GCF of 3706 and 3708?
Answer:
Greatest Common Factor of 3706 and 3708 = 2
Step 1: Find the prime factorization of 3706
3706 = 2 x 17 x 109
Step 2: Find the prime factorization of 3708
3708 = 2 x 2 x 3 x 3 x 103
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 3706 and 3708 is 2