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 3696, 3700 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3696 and 3700 is 4.
GCF(3696,3700) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3696
2 | 3696 |
2 | 1848 |
2 | 924 |
2 | 462 |
3 | 231 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 3696 are 2,3,7,11. Prime factorization of 3696 in exponential form is:
3696 = 24×31×71×111
Prime Factorization of 3700
2 | 3700 |
2 | 1850 |
5 | 925 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 3700 are 2,5,37. Prime factorization of 3700 in exponential form is:
3700 = 22×52×371
∴ So by taking common prime factors GCF of 3696 and 3700 is 4
Factors of 3696
List of positive integer factors of 3696 that divides 3696 without a remainder.
1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,33,42,44,48,56,66,77,84,88,112,132,154,168,176,231,264,308,336,462,528,616,924,1232,1848,3696
Factors of 3700
List of positive integer factors of 3700 that divides 3700 without a remainder.
1,2,4,5,10,20,25,37,50,74,100,148,185,370,740,925,1850,3700
Greatest Common Factor
We found the factors and prime factorization of 3696 and 3700. The biggest common factor number is the GCF number.
So the greatest common factor 3696 and 3700 is 4.
Also check out the Least Common Multiple of 3696 and 3700
(i) The GCF of 3696 and 3700 is associative
GCF of 3696 and 3700 = GCF of 3700 and 3696
1. What is the GCF of 3696 and 3700?
Answer: GCF of 3696 and 3700 is 4.
2. What are the Factors of 3696?
Answer: Factors of 3696 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696. There are 40 integers that are factors of 3696. The greatest factor of 3696 is 3696.
3. What are the Factors of 3700?
Answer: Factors of 3700 are 1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700. There are 18 integers that are factors of 3700. The greatest factor of 3700 is 3700.
4. How to Find the GCF of 3696 and 3700?
Answer:
Greatest Common Factor of 3696 and 3700 = 4
Step 1: Find the prime factorization of 3696
3696 = 2 x 2 x 2 x 2 x 3 x 7 x 11
Step 2: Find the prime factorization of 3700
3700 = 2 x 2 x 5 x 5 x 37
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 3696 and 3700 is 4