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, 3644 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3636 and 3644 is 4.
GCF(3636,3644) = 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 3644
2 | 3644 |
2 | 1822 |
911 | 911 |
1 |
Prime factors of 3644 are 2,911. Prime factorization of 3644 in exponential form is:
3644 = 22×9111
∴ So by taking common prime factors GCF of 3636 and 3644 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 3644
List of positive integer factors of 3644 that divides 3644 without a remainder.
1,2,4,911,1822,3644
Greatest Common Factor
We found the factors and prime factorization of 3636 and 3644. The biggest common factor number is the GCF number.
So the greatest common factor 3636 and 3644 is 4.
Also check out the Least Common Multiple of 3636 and 3644
(i) The GCF of 3636 and 3644 is associative
GCF of 3636 and 3644 = GCF of 3644 and 3636
1. What is the GCF of 3636 and 3644?
Answer: GCF of 3636 and 3644 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 3644?
Answer: Factors of 3644 are 1, 2, 4, 911, 1822, 3644. There are 6 integers that are factors of 3644. The greatest factor of 3644 is 3644.
4. How to Find the GCF of 3636 and 3644?
Answer:
Greatest Common Factor of 3636 and 3644 = 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 3644
3644 = 2 x 2 x 911
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 3644 is 4