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 3737, 3741 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3737 and 3741 is 1.
GCF(3737,3741) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3737
37 | 3737 |
101 | 101 |
1 |
Prime factors of 3737 are 37,101. Prime factorization of 3737 in exponential form is:
3737 = 371×1011
Prime Factorization of 3741
3 | 3741 |
29 | 1247 |
43 | 43 |
1 |
Prime factors of 3741 are 3,29,43. Prime factorization of 3741 in exponential form is:
3741 = 31×291×431
∴ So by taking common prime factors GCF of 3737 and 3741 is 1
Factors of 3737
List of positive integer factors of 3737 that divides 3737 without a remainder.
1,37,101,3737
Factors of 3741
List of positive integer factors of 3741 that divides 3741 without a remainder.
1,3,29,43,87,129,1247,3741
Greatest Common Factor
We found the factors and prime factorization of 3737 and 3741. The biggest common factor number is the GCF number.
So the greatest common factor 3737 and 3741 is 1.
Also check out the Least Common Multiple of 3737 and 3741
(i) The GCF of 3737 and 3741 is associative
GCF of 3737 and 3741 = GCF of 3741 and 3737
1. What is the GCF of 3737 and 3741?
Answer: GCF of 3737 and 3741 is 1.
2. What are the Factors of 3737?
Answer: Factors of 3737 are 1, 37, 101, 3737. There are 4 integers that are factors of 3737. The greatest factor of 3737 is 3737.
3. What are the Factors of 3741?
Answer: Factors of 3741 are 1, 3, 29, 43, 87, 129, 1247, 3741. There are 8 integers that are factors of 3741. The greatest factor of 3741 is 3741.
4. How to Find the GCF of 3737 and 3741?
Answer:
Greatest Common Factor of 3737 and 3741 = 1
Step 1: Find the prime factorization of 3737
3737 = 37 x 101
Step 2: Find the prime factorization of 3741
3741 = 3 x 29 x 43
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 3737 and 3741 is 1