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 3656, 3660 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3656 and 3660 is 4.
GCF(3656,3660) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3656
2 | 3656 |
2 | 1828 |
2 | 914 |
457 | 457 |
1 |
Prime factors of 3656 are 2,457. Prime factorization of 3656 in exponential form is:
3656 = 23×4571
Prime Factorization of 3660
2 | 3660 |
2 | 1830 |
3 | 915 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 3660 are 2,3,5,61. Prime factorization of 3660 in exponential form is:
3660 = 22×31×51×611
∴ So by taking common prime factors GCF of 3656 and 3660 is 4
Factors of 3656
List of positive integer factors of 3656 that divides 3656 without a remainder.
1,2,4,8,457,914,1828,3656
Factors of 3660
List of positive integer factors of 3660 that divides 3660 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,61,122,183,244,305,366,610,732,915,1220,1830,3660
Greatest Common Factor
We found the factors and prime factorization of 3656 and 3660. The biggest common factor number is the GCF number.
So the greatest common factor 3656 and 3660 is 4.
Also check out the Least Common Multiple of 3656 and 3660
(i) The GCF of 3656 and 3660 is associative
GCF of 3656 and 3660 = GCF of 3660 and 3656
1. What is the GCF of 3656 and 3660?
Answer: GCF of 3656 and 3660 is 4.
2. What are the Factors of 3656?
Answer: Factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656. There are 8 integers that are factors of 3656. The greatest factor of 3656 is 3656.
3. What are the Factors of 3660?
Answer: Factors of 3660 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830, 3660. There are 24 integers that are factors of 3660. The greatest factor of 3660 is 3660.
4. How to Find the GCF of 3656 and 3660?
Answer:
Greatest Common Factor of 3656 and 3660 = 4
Step 1: Find the prime factorization of 3656
3656 = 2 x 2 x 2 x 457
Step 2: Find the prime factorization of 3660
3660 = 2 x 2 x 3 x 5 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 3656 and 3660 is 4