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, 308 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 305 and 308 is 1.
GCF(305,308) = 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 308
2 | 308 |
2 | 154 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 308 are 2,7,11. Prime factorization of 308 in exponential form is:
308 = 22×71×111
∴ So by taking common prime factors GCF of 305 and 308 is 1
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors and prime factorization of 305 and 308. The biggest common factor number is the GCF number.
So the greatest common factor 305 and 308 is 1.
Also check out the Least Common Multiple of 305 and 308
(i) The GCF of 305 and 308 is associative
GCF of 305 and 308 = GCF of 308 and 305
1. What is the GCF of 305 and 308?
Answer: GCF of 305 and 308 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 308?
Answer: Factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308. There are 12 integers that are factors of 308. The greatest factor of 308 is 308.
4. How to Find the GCF of 305 and 308?
Answer:
Greatest Common Factor of 305 and 308 = 1
Step 1: Find the prime factorization of 305
305 = 5 x 61
Step 2: Find the prime factorization of 308
308 = 2 x 2 x 7 x 11
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 308 is 1