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 3731, 3737 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3731 and 3737 is 1.
GCF(3731,3737) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3731
7 | 3731 |
13 | 533 |
41 | 41 |
1 |
Prime factors of 3731 are 7,13,41. Prime factorization of 3731 in exponential form is:
3731 = 71×131×411
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
∴ So by taking common prime factors GCF of 3731 and 3737 is 1
Factors of 3731
List of positive integer factors of 3731 that divides 3731 without a remainder.
1,7,13,41,91,287,533,3731
Factors of 3737
List of positive integer factors of 3737 that divides 3737 without a remainder.
1,37,101,3737
Greatest Common Factor
We found the factors and prime factorization of 3731 and 3737. The biggest common factor number is the GCF number.
So the greatest common factor 3731 and 3737 is 1.
Also check out the Least Common Multiple of 3731 and 3737
(i) The GCF of 3731 and 3737 is associative
GCF of 3731 and 3737 = GCF of 3737 and 3731
1. What is the GCF of 3731 and 3737?
Answer: GCF of 3731 and 3737 is 1.
2. What are the Factors of 3731?
Answer: Factors of 3731 are 1, 7, 13, 41, 91, 287, 533, 3731. There are 8 integers that are factors of 3731. The greatest factor of 3731 is 3731.
3. 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.
4. How to Find the GCF of 3731 and 3737?
Answer:
Greatest Common Factor of 3731 and 3737 = 1
Step 1: Find the prime factorization of 3731
3731 = 7 x 13 x 41
Step 2: Find the prime factorization of 3737
3737 = 37 x 101
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 3731 and 3737 is 1