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 3707, 3708 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3707 and 3708 is 1.
GCF(3707,3708) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3707
11 | 3707 |
337 | 337 |
1 |
Prime factors of 3707 are 11,337. Prime factorization of 3707 in exponential form is:
3707 = 111×3371
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 3707 and 3708 is 1
Factors of 3707
List of positive integer factors of 3707 that divides 3707 without a remainder.
1,11,337,3707
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 3707 and 3708. The biggest common factor number is the GCF number.
So the greatest common factor 3707 and 3708 is 1.
Also check out the Least Common Multiple of 3707 and 3708
(i) The GCF of 3707 and 3708 is associative
GCF of 3707 and 3708 = GCF of 3708 and 3707
1. What is the GCF of 3707 and 3708?
Answer: GCF of 3707 and 3708 is 1.
2. What are the Factors of 3707?
Answer: Factors of 3707 are 1, 11, 337, 3707. There are 4 integers that are factors of 3707. The greatest factor of 3707 is 3707.
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 3707 and 3708?
Answer:
Greatest Common Factor of 3707 and 3708 = 1
Step 1: Find the prime factorization of 3707
3707 = 11 x 337
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 = = 1
Step 4: Therefore, the greatest common factor of 3707 and 3708 is 1