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 3608, 3614 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3608 and 3614 is 2.
GCF(3608,3614) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3608
2 | 3608 |
2 | 1804 |
2 | 902 |
11 | 451 |
41 | 41 |
1 |
Prime factors of 3608 are 2,11,41. Prime factorization of 3608 in exponential form is:
3608 = 23×111×411
Prime Factorization of 3614
2 | 3614 |
13 | 1807 |
139 | 139 |
1 |
Prime factors of 3614 are 2,13,139. Prime factorization of 3614 in exponential form is:
3614 = 21×131×1391
∴ So by taking common prime factors GCF of 3608 and 3614 is 2
Factors of 3608
List of positive integer factors of 3608 that divides 3608 without a remainder.
1,2,4,8,11,22,41,44,82,88,164,328,451,902,1804,3608
Factors of 3614
List of positive integer factors of 3614 that divides 3614 without a remainder.
1,2,13,26,139,278,1807,3614
Greatest Common Factor
We found the factors and prime factorization of 3608 and 3614. The biggest common factor number is the GCF number.
So the greatest common factor 3608 and 3614 is 2.
Also check out the Least Common Multiple of 3608 and 3614
(i) The GCF of 3608 and 3614 is associative
GCF of 3608 and 3614 = GCF of 3614 and 3608
1. What is the GCF of 3608 and 3614?
Answer: GCF of 3608 and 3614 is 2.
2. What are the Factors of 3608?
Answer: Factors of 3608 are 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608. There are 16 integers that are factors of 3608. The greatest factor of 3608 is 3608.
3. What are the Factors of 3614?
Answer: Factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614. There are 8 integers that are factors of 3614. The greatest factor of 3614 is 3614.
4. How to Find the GCF of 3608 and 3614?
Answer:
Greatest Common Factor of 3608 and 3614 = 2
Step 1: Find the prime factorization of 3608
3608 = 2 x 2 x 2 x 11 x 41
Step 2: Find the prime factorization of 3614
3614 = 2 x 13 x 139
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 3608 and 3614 is 2