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 303, 310 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 303 and 310 is 1.
GCF(303,310) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 303
3 | 303 |
101 | 101 |
1 |
Prime factors of 303 are 3,101. Prime factorization of 303 in exponential form is:
303 = 31×1011
Prime Factorization of 310
2 | 310 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 310 are 2,5,31. Prime factorization of 310 in exponential form is:
310 = 21×51×311
∴ So by taking common prime factors GCF of 303 and 310 is 1
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors and prime factorization of 303 and 310. The biggest common factor number is the GCF number.
So the greatest common factor 303 and 310 is 1.
Also check out the Least Common Multiple of 303 and 310
(i) The GCF of 303 and 310 is associative
GCF of 303 and 310 = GCF of 310 and 303
1. What is the GCF of 303 and 310?
Answer: GCF of 303 and 310 is 1.
2. What are the Factors of 303?
Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.
3. What are the Factors of 310?
Answer: Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. There are 8 integers that are factors of 310. The greatest factor of 310 is 310.
4. How to Find the GCF of 303 and 310?
Answer:
Greatest Common Factor of 303 and 310 = 1
Step 1: Find the prime factorization of 303
303 = 3 x 101
Step 2: Find the prime factorization of 310
310 = 2 x 5 x 31
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 303 and 310 is 1