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 305, 306 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 305 and 306 is 1.
GCF(305,306) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 305
5 | 305 |
61 | 61 |
1 |
Prime factors of 305 are 5,61. Prime factorization of 305 in exponential form is:
305 = 51×611
Prime Factorization of 306
2 | 306 |
3 | 153 |
3 | 51 |
17 | 17 |
1 |
Prime factors of 306 are 2,3,17. Prime factorization of 306 in exponential form is:
306 = 21×32×171
∴ So by taking common prime factors GCF of 305 and 306 is 1
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors and prime factorization of 305 and 306. The biggest common factor number is the GCF number.
So the greatest common factor 305 and 306 is 1.
Also check out the Least Common Multiple of 305 and 306
(i) The GCF of 305 and 306 is associative
GCF of 305 and 306 = GCF of 306 and 305
1. What is the GCF of 305 and 306?
Answer: GCF of 305 and 306 is 1.
2. What are the Factors of 305?
Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.
3. What are the Factors of 306?
Answer: Factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306. There are 12 integers that are factors of 306. The greatest factor of 306 is 306.
4. How to Find the GCF of 305 and 306?
Answer:
Greatest Common Factor of 305 and 306 = 1
Step 1: Find the prime factorization of 305
305 = 5 x 61
Step 2: Find the prime factorization of 306
306 = 2 x 3 x 3 x 17
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 305 and 306 is 1