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 3709, 3716 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3709 and 3716 is 1.
GCF(3709,3716) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3709
3709 | 3709 |
1 |
Prime factors of 3709 are 3709. Prime factorization of 3709 in exponential form is:
3709 = 37091
Prime Factorization of 3716
2 | 3716 |
2 | 1858 |
929 | 929 |
1 |
Prime factors of 3716 are 2.Prime factorization of 3716 in exponential form is:
3716 = 22×9291
∴ So by taking common prime factors GCF of 3709 and 3716 is 1
Factors of 3709
List of positive integer factors of 3709 that divides 3709 without a remainder.
1,3709
Factors of 3716
List of positive integer factors of 3716 that divides 3716 without a remainder.
1,2,4,929,1858,3716
Greatest Common Factor
We found the factors and prime factorization of 3709 and 3716. The biggest common factor number is the GCF number.
So the greatest common factor 3709 and 3716 is 1.
Also check out the Least Common Multiple of 3709 and 3716
(i) The GCF of 3709 and 3716 is associative
GCF of 3709 and 3716 = GCF of 3716 and 3709
1. What is the GCF of 3709 and 3716?
Answer: GCF of 3709 and 3716 is 1.
2. What are the Factors of 3709?
Answer: Factors of 3709 are 1, 3709. There are 2 integers that are factors of 3709. The greatest factor of 3709 is 3709.
3. What are the Factors of 3716?
Answer: Factors of 3716 are 1, 2, 4, 929, 1858, 3716. There are 6 integers that are factors of 3716. The greatest factor of 3716 is 3716.
4. How to Find the GCF of 3709 and 3716?
Answer:
Greatest Common Factor of 3709 and 3716 = 1
Step 1: Find the prime factorization of 3709
3709 = 3709
Step 2: Find the prime factorization of 3716
3716 = 2 x 2 x 929
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 3709 and 3716 is 1