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 3749, 3756 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3749 and 3756 is 1.
GCF(3749,3756) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3749
23 | 3749 |
163 | 163 |
1 |
Prime factors of 3749 are 23,163. Prime factorization of 3749 in exponential form is:
3749 = 231×1631
Prime Factorization of 3756
2 | 3756 |
2 | 1878 |
3 | 939 |
313 | 313 |
1 |
Prime factors of 3756 are 2,3,313. Prime factorization of 3756 in exponential form is:
3756 = 22×31×3131
∴ So by taking common prime factors GCF of 3749 and 3756 is 1
Factors of 3749
List of positive integer factors of 3749 that divides 3749 without a remainder.
1,23,163,3749
Factors of 3756
List of positive integer factors of 3756 that divides 3756 without a remainder.
1,2,3,4,6,12,313,626,939,1252,1878,3756
Greatest Common Factor
We found the factors and prime factorization of 3749 and 3756. The biggest common factor number is the GCF number.
So the greatest common factor 3749 and 3756 is 1.
Also check out the Least Common Multiple of 3749 and 3756
(i) The GCF of 3749 and 3756 is associative
GCF of 3749 and 3756 = GCF of 3756 and 3749
1. What is the GCF of 3749 and 3756?
Answer: GCF of 3749 and 3756 is 1.
2. What are the Factors of 3749?
Answer: Factors of 3749 are 1, 23, 163, 3749. There are 4 integers that are factors of 3749. The greatest factor of 3749 is 3749.
3. What are the Factors of 3756?
Answer: Factors of 3756 are 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878, 3756. There are 12 integers that are factors of 3756. The greatest factor of 3756 is 3756.
4. How to Find the GCF of 3749 and 3756?
Answer:
Greatest Common Factor of 3749 and 3756 = 1
Step 1: Find the prime factorization of 3749
3749 = 23 x 163
Step 2: Find the prime factorization of 3756
3756 = 2 x 2 x 3 x 313
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 3749 and 3756 is 1