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 3713, 3717 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3713 and 3717 is 1.
GCF(3713,3717) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 3717
3 | 3717 |
3 | 1239 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 3717 are 3,7,59. Prime factorization of 3717 in exponential form is:
3717 = 32×71×591
∴ So by taking common prime factors GCF of 3713 and 3717 is 1
Factors of 3713
List of positive integer factors of 3713 that divides 3713 without a remainder.
1,47,79,3713
Factors of 3717
List of positive integer factors of 3717 that divides 3717 without a remainder.
1,3,7,9,21,59,63,177,413,531,1239,3717
Greatest Common Factor
We found the factors and prime factorization of 3713 and 3717. The biggest common factor number is the GCF number.
So the greatest common factor 3713 and 3717 is 1.
Also check out the Least Common Multiple of 3713 and 3717
(i) The GCF of 3713 and 3717 is associative
GCF of 3713 and 3717 = GCF of 3717 and 3713
1. What is the GCF of 3713 and 3717?
Answer: GCF of 3713 and 3717 is 1.
2. 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.
3. What are the Factors of 3717?
Answer: Factors of 3717 are 1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717. There are 12 integers that are factors of 3717. The greatest factor of 3717 is 3717.
4. How to Find the GCF of 3713 and 3717?
Answer:
Greatest Common Factor of 3713 and 3717 = 1
Step 1: Find the prime factorization of 3713
3713 = 47 x 79
Step 2: Find the prime factorization of 3717
3717 = 3 x 3 x 7 x 59
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 3713 and 3717 is 1