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 3704, 3712 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3704 and 3712 is 8.
GCF(3704,3712) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3704
2 | 3704 |
2 | 1852 |
2 | 926 |
463 | 463 |
1 |
Prime factors of 3704 are 2,463. Prime factorization of 3704 in exponential form is:
3704 = 23×4631
Prime Factorization of 3712
2 | 3712 |
2 | 1856 |
2 | 928 |
2 | 464 |
2 | 232 |
2 | 116 |
2 | 58 |
29 | 29 |
1 |
Prime factors of 3712 are 2,29. Prime factorization of 3712 in exponential form is:
3712 = 27×291
∴ So by taking common prime factors GCF of 3704 and 3712 is 8
Factors of 3704
List of positive integer factors of 3704 that divides 3704 without a remainder.
1,2,4,8,463,926,1852,3704
Factors of 3712
List of positive integer factors of 3712 that divides 3712 without a remainder.
1,2,4,8,16,29,32,58,64,116,128,232,464,928,1856,3712
Greatest Common Factor
We found the factors and prime factorization of 3704 and 3712. The biggest common factor number is the GCF number.
So the greatest common factor 3704 and 3712 is 8.
Also check out the Least Common Multiple of 3704 and 3712
(i) The GCF of 3704 and 3712 is associative
GCF of 3704 and 3712 = GCF of 3712 and 3704
1. What is the GCF of 3704 and 3712?
Answer: GCF of 3704 and 3712 is 8.
2. What are the Factors of 3704?
Answer: Factors of 3704 are 1, 2, 4, 8, 463, 926, 1852, 3704. There are 8 integers that are factors of 3704. The greatest factor of 3704 is 3704.
3. What are the Factors of 3712?
Answer: Factors of 3712 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712. There are 16 integers that are factors of 3712. The greatest factor of 3712 is 3712.
4. How to Find the GCF of 3704 and 3712?
Answer:
Greatest Common Factor of 3704 and 3712 = 8
Step 1: Find the prime factorization of 3704
3704 = 2 x 2 x 2 x 463
Step 2: Find the prime factorization of 3712
3712 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 3704 and 3712 is 8