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, 3729 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3726 and 3729 is 3.
GCF(3726,3729) = 3
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 3729
3 | 3729 |
11 | 1243 |
113 | 113 |
1 |
Prime factors of 3729 are 3,11,113. Prime factorization of 3729 in exponential form is:
3729 = 31×111×1131
∴ So by taking common prime factors GCF of 3726 and 3729 is 3
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 3729
List of positive integer factors of 3729 that divides 3729 without a remainder.
1,3,11,33,113,339,1243,3729
Greatest Common Factor
We found the factors and prime factorization of 3726 and 3729. The biggest common factor number is the GCF number.
So the greatest common factor 3726 and 3729 is 3.
Also check out the Least Common Multiple of 3726 and 3729
(i) The GCF of 3726 and 3729 is associative
GCF of 3726 and 3729 = GCF of 3729 and 3726
1. What is the GCF of 3726 and 3729?
Answer: GCF of 3726 and 3729 is 3.
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 3729?
Answer: Factors of 3729 are 1, 3, 11, 33, 113, 339, 1243, 3729. There are 8 integers that are factors of 3729. The greatest factor of 3729 is 3729.
4. How to Find the GCF of 3726 and 3729?
Answer:
Greatest Common Factor of 3726 and 3729 = 3
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 3729
3729 = 3 x 11 x 113
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 3726 and 3729 is 3