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 3735, 3743 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3735 and 3743 is 1.
GCF(3735,3743) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3735
3 | 3735 |
3 | 1245 |
5 | 415 |
83 | 83 |
1 |
Prime factors of 3735 are 3,5,83. Prime factorization of 3735 in exponential form is:
3735 = 32×51×831
Prime Factorization of 3743
19 | 3743 |
197 | 197 |
1 |
Prime factors of 3743 are 19,197. Prime factorization of 3743 in exponential form is:
3743 = 191×1971
∴ So by taking common prime factors GCF of 3735 and 3743 is 1
Factors of 3735
List of positive integer factors of 3735 that divides 3735 without a remainder.
1,3,5,9,15,45,83,249,415,747,1245,3735
Factors of 3743
List of positive integer factors of 3743 that divides 3743 without a remainder.
1,19,197,3743
Greatest Common Factor
We found the factors and prime factorization of 3735 and 3743. The biggest common factor number is the GCF number.
So the greatest common factor 3735 and 3743 is 1.
Also check out the Least Common Multiple of 3735 and 3743
(i) The GCF of 3735 and 3743 is associative
GCF of 3735 and 3743 = GCF of 3743 and 3735
1. What is the GCF of 3735 and 3743?
Answer: GCF of 3735 and 3743 is 1.
2. What are the Factors of 3735?
Answer: Factors of 3735 are 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245, 3735. There are 12 integers that are factors of 3735. The greatest factor of 3735 is 3735.
3. What are the Factors of 3743?
Answer: Factors of 3743 are 1, 19, 197, 3743. There are 4 integers that are factors of 3743. The greatest factor of 3743 is 3743.
4. How to Find the GCF of 3735 and 3743?
Answer:
Greatest Common Factor of 3735 and 3743 = 1
Step 1: Find the prime factorization of 3735
3735 = 3 x 3 x 5 x 83
Step 2: Find the prime factorization of 3743
3743 = 19 x 197
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 3735 and 3743 is 1