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 3636, 3640 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3636 and 3640 is 4.
GCF(3636,3640) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3636
2 | 3636 |
2 | 1818 |
3 | 909 |
3 | 303 |
101 | 101 |
1 |
Prime factors of 3636 are 2,3,101. Prime factorization of 3636 in exponential form is:
3636 = 22×32×1011
Prime Factorization of 3640
2 | 3640 |
2 | 1820 |
2 | 910 |
5 | 455 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 3640 are 2,5,7,13. Prime factorization of 3640 in exponential form is:
3640 = 23×51×71×131
∴ So by taking common prime factors GCF of 3636 and 3640 is 4
Factors of 3636
List of positive integer factors of 3636 that divides 3636 without a remainder.
1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636
Factors of 3640
List of positive integer factors of 3640 that divides 3640 without a remainder.
1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640
Greatest Common Factor
We found the factors and prime factorization of 3636 and 3640. The biggest common factor number is the GCF number.
So the greatest common factor 3636 and 3640 is 4.
Also check out the Least Common Multiple of 3636 and 3640
(i) The GCF of 3636 and 3640 is associative
GCF of 3636 and 3640 = GCF of 3640 and 3636
1. What is the GCF of 3636 and 3640?
Answer: GCF of 3636 and 3640 is 4.
2. What are the Factors of 3636?
Answer: Factors of 3636 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 101, 202, 303, 404, 606, 909, 1212, 1818, 3636. There are 18 integers that are factors of 3636. The greatest factor of 3636 is 3636.
3. What are the Factors of 3640?
Answer: Factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640. There are 32 integers that are factors of 3640. The greatest factor of 3640 is 3640.
4. How to Find the GCF of 3636 and 3640?
Answer:
Greatest Common Factor of 3636 and 3640 = 4
Step 1: Find the prime factorization of 3636
3636 = 2 x 2 x 3 x 3 x 101
Step 2: Find the prime factorization of 3640
3640 = 2 x 2 x 2 x 5 x 7 x 13
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 3636 and 3640 is 4