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 3682, 3688 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3682 and 3688 is 2.
GCF(3682,3688) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3682
2 | 3682 |
7 | 1841 |
263 | 263 |
1 |
Prime factors of 3682 are 2,7,263. Prime factorization of 3682 in exponential form is:
3682 = 21×71×2631
Prime Factorization of 3688
2 | 3688 |
2 | 1844 |
2 | 922 |
461 | 461 |
1 |
Prime factors of 3688 are 2,461. Prime factorization of 3688 in exponential form is:
3688 = 23×4611
∴ So by taking common prime factors GCF of 3682 and 3688 is 2
Factors of 3682
List of positive integer factors of 3682 that divides 3682 without a remainder.
1,2,7,14,263,526,1841,3682
Factors of 3688
List of positive integer factors of 3688 that divides 3688 without a remainder.
1,2,4,8,461,922,1844,3688
Greatest Common Factor
We found the factors and prime factorization of 3682 and 3688. The biggest common factor number is the GCF number.
So the greatest common factor 3682 and 3688 is 2.
Also check out the Least Common Multiple of 3682 and 3688
(i) The GCF of 3682 and 3688 is associative
GCF of 3682 and 3688 = GCF of 3688 and 3682
1. What is the GCF of 3682 and 3688?
Answer: GCF of 3682 and 3688 is 2.
2. What are the Factors of 3682?
Answer: Factors of 3682 are 1, 2, 7, 14, 263, 526, 1841, 3682. There are 8 integers that are factors of 3682. The greatest factor of 3682 is 3682.
3. What are the Factors of 3688?
Answer: Factors of 3688 are 1, 2, 4, 8, 461, 922, 1844, 3688. There are 8 integers that are factors of 3688. The greatest factor of 3688 is 3688.
4. How to Find the GCF of 3682 and 3688?
Answer:
Greatest Common Factor of 3682 and 3688 = 2
Step 1: Find the prime factorization of 3682
3682 = 2 x 7 x 263
Step 2: Find the prime factorization of 3688
3688 = 2 x 2 x 2 x 461
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 3682 and 3688 is 2