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, 3713 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3707 and 3713 is 1.
GCF(3707,3713) = 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 3713
47 | 3713 |
79 | 79 |
1 |
Prime factors of 3713 are 47,79. Prime factorization of 3713 in exponential form is:
3713 = 471×791
∴ So by taking common prime factors GCF of 3707 and 3713 is 1
Factors of 3707
List of positive integer factors of 3707 that divides 3707 without a remainder.
1,11,337,3707
Factors of 3713
List of positive integer factors of 3713 that divides 3713 without a remainder.
1,47,79,3713
Greatest Common Factor
We found the factors and prime factorization of 3707 and 3713. The biggest common factor number is the GCF number.
So the greatest common factor 3707 and 3713 is 1.
Also check out the Least Common Multiple of 3707 and 3713
(i) The GCF of 3707 and 3713 is associative
GCF of 3707 and 3713 = GCF of 3713 and 3707
1. What is the GCF of 3707 and 3713?
Answer: GCF of 3707 and 3713 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 3713?
Answer: Factors of 3713 are 1, 47, 79, 3713. There are 4 integers that are factors of 3713. The greatest factor of 3713 is 3713.
4. How to Find the GCF of 3707 and 3713?
Answer:
Greatest Common Factor of 3707 and 3713 = 1
Step 1: Find the prime factorization of 3707
3707 = 11 x 337
Step 2: Find the prime factorization of 3713
3713 = 47 x 79
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 3713 is 1