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 3728, 3731 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3728 and 3731 is 1.
GCF(3728,3731) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3728
2 | 3728 |
2 | 1864 |
2 | 932 |
2 | 466 |
233 | 233 |
1 |
Prime factors of 3728 are 2,233. Prime factorization of 3728 in exponential form is:
3728 = 24×2331
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 3728 and 3731 is 1
Factors of 3728
List of positive integer factors of 3728 that divides 3728 without a remainder.
1,2,4,8,16,233,466,932,1864,3728
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 3728 and 3731. The biggest common factor number is the GCF number.
So the greatest common factor 3728 and 3731 is 1.
Also check out the Least Common Multiple of 3728 and 3731
(i) The GCF of 3728 and 3731 is associative
GCF of 3728 and 3731 = GCF of 3731 and 3728
1. What is the GCF of 3728 and 3731?
Answer: GCF of 3728 and 3731 is 1.
2. What are the Factors of 3728?
Answer: Factors of 3728 are 1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728. There are 10 integers that are factors of 3728. The greatest factor of 3728 is 3728.
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 3728 and 3731?
Answer:
Greatest Common Factor of 3728 and 3731 = 1
Step 1: Find the prime factorization of 3728
3728 = 2 x 2 x 2 x 2 x 233
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 3728 and 3731 is 1