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 301, 303 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 301 and 303 is 1.
GCF(301,303) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 301
7 | 301 |
43 | 43 |
1 |
Prime factors of 301 are 7,43. Prime factorization of 301 in exponential form is:
301 = 71×431
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
∴ So by taking common prime factors GCF of 301 and 303 is 1
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Greatest Common Factor
We found the factors and prime factorization of 301 and 303. The biggest common factor number is the GCF number.
So the greatest common factor 301 and 303 is 1.
Also check out the Least Common Multiple of 301 and 303
(i) The GCF of 301 and 303 is associative
GCF of 301 and 303 = GCF of 303 and 301
1. What is the GCF of 301 and 303?
Answer: GCF of 301 and 303 is 1.
2. What are the Factors of 301?
Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.
3. 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.
4. How to Find the GCF of 301 and 303?
Answer:
Greatest Common Factor of 301 and 303 = 1
Step 1: Find the prime factorization of 301
301 = 7 x 43
Step 2: Find the prime factorization of 303
303 = 3 x 101
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 301 and 303 is 1