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, 3732 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3726 and 3732 is 6.
GCF(3726,3732) = 6
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 3732
2 | 3732 |
2 | 1866 |
3 | 933 |
311 | 311 |
1 |
Prime factors of 3732 are 2,3,311. Prime factorization of 3732 in exponential form is:
3732 = 22×31×3111
∴ So by taking common prime factors GCF of 3726 and 3732 is 6
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 3732
List of positive integer factors of 3732 that divides 3732 without a remainder.
1,2,3,4,6,12,311,622,933,1244,1866,3732
Greatest Common Factor
We found the factors and prime factorization of 3726 and 3732. The biggest common factor number is the GCF number.
So the greatest common factor 3726 and 3732 is 6.
Also check out the Least Common Multiple of 3726 and 3732
(i) The GCF of 3726 and 3732 is associative
GCF of 3726 and 3732 = GCF of 3732 and 3726
1. What is the GCF of 3726 and 3732?
Answer: GCF of 3726 and 3732 is 6.
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 3732?
Answer: Factors of 3732 are 1, 2, 3, 4, 6, 12, 311, 622, 933, 1244, 1866, 3732. There are 12 integers that are factors of 3732. The greatest factor of 3732 is 3732.
4. How to Find the GCF of 3726 and 3732?
Answer:
Greatest Common Factor of 3726 and 3732 = 6
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 3732
3732 = 2 x 2 x 3 x 311
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 3726 and 3732 is 6