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 3726, 3731 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3726 and 3731 is 1.
GCF(3726,3731) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3726
2 | 3726 |
3 | 1863 |
3 | 621 |
3 | 207 |
3 | 69 |
23 | 23 |
1 |
Prime factors of 3726 are 2,3,23. Prime factorization of 3726 in exponential form is:
3726 = 21×34×231
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
∴ So by taking common prime factors GCF of 3726 and 3731 is 1
Factors of 3726
List of positive integer factors of 3726 that divides 3726 without a remainder.
1,2,3,6,9,18,23,27,46,54,69,81,138,162,207,414,621,1242,1863,3726
Factors of 3731
List of positive integer factors of 3731 that divides 3731 without a remainder.
1,7,13,41,91,287,533,3731
Greatest Common Factor
We found the factors and prime factorization of 3726 and 3731. The biggest common factor number is the GCF number.
So the greatest common factor 3726 and 3731 is 1.
Also check out the Least Common Multiple of 3726 and 3731
(i) The GCF of 3726 and 3731 is associative
GCF of 3726 and 3731 = GCF of 3731 and 3726
1. What is the GCF of 3726 and 3731?
Answer: GCF of 3726 and 3731 is 1.
2. What are the Factors of 3726?
Answer: Factors of 3726 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726. There are 20 integers that are factors of 3726. The greatest factor of 3726 is 3726.
3. 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.
4. How to Find the GCF of 3726 and 3731?
Answer:
Greatest Common Factor of 3726 and 3731 = 1
Step 1: Find the prime factorization of 3726
3726 = 2 x 3 x 3 x 3 x 3 x 23
Step 2: Find the prime factorization of 3731
3731 = 7 x 13 x 41
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 3726 and 3731 is 1