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 353, 361 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 353 and 361 is 1.
GCF(353,361) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 353
353 | 353 |
1 |
Prime factors of 353 are 353. Prime factorization of 353 in exponential form is:
353 = 3531
Prime Factorization of 361
19 | 361 |
19 | 19 |
1 |
Prime factors of 361 are 19.Prime factorization of 361 in exponential form is:
361 = 192
∴ So by taking common prime factors GCF of 353 and 361 is 1
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors and prime factorization of 353 and 361. The biggest common factor number is the GCF number.
So the greatest common factor 353 and 361 is 1.
Also check out the Least Common Multiple of 353 and 361
(i) The GCF of 353 and 361 is associative
GCF of 353 and 361 = GCF of 361 and 353
1. What is the GCF of 353 and 361?
Answer: GCF of 353 and 361 is 1.
2. What are the Factors of 353?
Answer: Factors of 353 are 1, 353. There are 2 integers that are factors of 353. The greatest factor of 353 is 353.
3. What are the Factors of 361?
Answer: Factors of 361 are 1, 19, 361. There are 3 integers that are factors of 361. The greatest factor of 361 is 361.
4. How to Find the GCF of 353 and 361?
Answer:
Greatest Common Factor of 353 and 361 = 1
Step 1: Find the prime factorization of 353
353 = 353
Step 2: Find the prime factorization of 361
361 = 19 x 19
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 353 and 361 is 1