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 3733, 3740 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3733 and 3740 is 1.
GCF(3733,3740) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3733
3733 | 3733 |
1 |
Prime factors of 3733 are 3733. Prime factorization of 3733 in exponential form is:
3733 = 37331
Prime Factorization of 3740
2 | 3740 |
2 | 1870 |
5 | 935 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 3740 are 2.Prime factorization of 3740 in exponential form is:
3740 = 22×51×111×171
∴ So by taking common prime factors GCF of 3733 and 3740 is 1
Factors of 3733
List of positive integer factors of 3733 that divides 3733 without a remainder.
1,3733
Factors of 3740
List of positive integer factors of 3740 that divides 3740 without a remainder.
1,2,4,5,10,11,17,20,22,34,44,55,68,85,110,170,187,220,340,374,748,935,1870,3740
Greatest Common Factor
We found the factors and prime factorization of 3733 and 3740. The biggest common factor number is the GCF number.
So the greatest common factor 3733 and 3740 is 1.
Also check out the Least Common Multiple of 3733 and 3740
(i) The GCF of 3733 and 3740 is associative
GCF of 3733 and 3740 = GCF of 3740 and 3733
1. What is the GCF of 3733 and 3740?
Answer: GCF of 3733 and 3740 is 1.
2. What are the Factors of 3733?
Answer: Factors of 3733 are 1, 3733. There are 2 integers that are factors of 3733. The greatest factor of 3733 is 3733.
3. What are the Factors of 3740?
Answer: Factors of 3740 are 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740. There are 24 integers that are factors of 3740. The greatest factor of 3740 is 3740.
4. How to Find the GCF of 3733 and 3740?
Answer:
Greatest Common Factor of 3733 and 3740 = 1
Step 1: Find the prime factorization of 3733
3733 = 3733
Step 2: Find the prime factorization of 3740
3740 = 2 x 2 x 5 x 11 x 17
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 3733 and 3740 is 1