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, 3718 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3713 and 3718 is 1.
GCF(3713,3718) = 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 3718
2 | 3718 |
11 | 1859 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 3718 are 2,11,13. Prime factorization of 3718 in exponential form is:
3718 = 21×111×132
∴ So by taking common prime factors GCF of 3713 and 3718 is 1
Factors of 3713
List of positive integer factors of 3713 that divides 3713 without a remainder.
1,47,79,3713
Factors of 3718
List of positive integer factors of 3718 that divides 3718 without a remainder.
1,2,11,13,22,26,143,169,286,338,1859,3718
Greatest Common Factor
We found the factors and prime factorization of 3713 and 3718. The biggest common factor number is the GCF number.
So the greatest common factor 3713 and 3718 is 1.
Also check out the Least Common Multiple of 3713 and 3718
(i) The GCF of 3713 and 3718 is associative
GCF of 3713 and 3718 = GCF of 3718 and 3713
1. What is the GCF of 3713 and 3718?
Answer: GCF of 3713 and 3718 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 3718?
Answer: Factors of 3718 are 1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718. There are 12 integers that are factors of 3718. The greatest factor of 3718 is 3718.
4. How to Find the GCF of 3713 and 3718?
Answer:
Greatest Common Factor of 3713 and 3718 = 1
Step 1: Find the prime factorization of 3713
3713 = 47 x 79
Step 2: Find the prime factorization of 3718
3718 = 2 x 11 x 13 x 13
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 3718 is 1