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 3736, 3741 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3736 and 3741 is 1.
GCF(3736,3741) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3736
2 | 3736 |
2 | 1868 |
2 | 934 |
467 | 467 |
1 |
Prime factors of 3736 are 2,467. Prime factorization of 3736 in exponential form is:
3736 = 23×4671
Prime Factorization of 3741
3 | 3741 |
29 | 1247 |
43 | 43 |
1 |
Prime factors of 3741 are 3,29,43. Prime factorization of 3741 in exponential form is:
3741 = 31×291×431
∴ So by taking common prime factors GCF of 3736 and 3741 is 1
Factors of 3736
List of positive integer factors of 3736 that divides 3736 without a remainder.
1,2,4,8,467,934,1868,3736
Factors of 3741
List of positive integer factors of 3741 that divides 3741 without a remainder.
1,3,29,43,87,129,1247,3741
Greatest Common Factor
We found the factors and prime factorization of 3736 and 3741. The biggest common factor number is the GCF number.
So the greatest common factor 3736 and 3741 is 1.
Also check out the Least Common Multiple of 3736 and 3741
(i) The GCF of 3736 and 3741 is associative
GCF of 3736 and 3741 = GCF of 3741 and 3736
1. What is the GCF of 3736 and 3741?
Answer: GCF of 3736 and 3741 is 1.
2. What are the Factors of 3736?
Answer: Factors of 3736 are 1, 2, 4, 8, 467, 934, 1868, 3736. There are 8 integers that are factors of 3736. The greatest factor of 3736 is 3736.
3. What are the Factors of 3741?
Answer: Factors of 3741 are 1, 3, 29, 43, 87, 129, 1247, 3741. There are 8 integers that are factors of 3741. The greatest factor of 3741 is 3741.
4. How to Find the GCF of 3736 and 3741?
Answer:
Greatest Common Factor of 3736 and 3741 = 1
Step 1: Find the prime factorization of 3736
3736 = 2 x 2 x 2 x 467
Step 2: Find the prime factorization of 3741
3741 = 3 x 29 x 43
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 3736 and 3741 is 1