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 1908, 1909 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1908 and 1909 is 1.
GCF(1908,1909) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1908
2 | 1908 |
2 | 954 |
3 | 477 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 1908 are 2,3,53. Prime factorization of 1908 in exponential form is:
1908 = 22×32×531
Prime Factorization of 1909
23 | 1909 |
83 | 83 |
1 |
Prime factors of 1909 are 23,83. Prime factorization of 1909 in exponential form is:
1909 = 231×831
∴ So by taking common prime factors GCF of 1908 and 1909 is 1
Factors of 1908
List of positive integer factors of 1908 that divides 1908 without a remainder.
1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908
Factors of 1909
List of positive integer factors of 1909 that divides 1909 without a remainder.
1,23,83,1909
Greatest Common Factor
We found the factors and prime factorization of 1908 and 1909. The biggest common factor number is the GCF number.
So the greatest common factor 1908 and 1909 is 1.
Also check out the Least Common Multiple of 1908 and 1909
(i) The GCF of 1908 and 1909 is associative
GCF of 1908 and 1909 = GCF of 1909 and 1908
1. What is the GCF of 1908 and 1909?
Answer: GCF of 1908 and 1909 is 1.
2. What are the Factors of 1908?
Answer: Factors of 1908 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908. There are 18 integers that are factors of 1908. The greatest factor of 1908 is 1908.
3. What are the Factors of 1909?
Answer: Factors of 1909 are 1, 23, 83, 1909. There are 4 integers that are factors of 1909. The greatest factor of 1909 is 1909.
4. How to Find the GCF of 1908 and 1909?
Answer:
Greatest Common Factor of 1908 and 1909 = 1
Step 1: Find the prime factorization of 1908
1908 = 2 x 2 x 3 x 3 x 53
Step 2: Find the prime factorization of 1909
1909 = 23 x 83
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 1908 and 1909 is 1