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 13383, 13387 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 13383 and 13387 is 1.
GCF(13383,13387) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 13383
3 | 13383 |
3 | 4461 |
1487 | 1487 |
1 |
Prime factors of 13383 are 3,1487. Prime factorization of 13383 in exponential form is:
13383 = 32×14871
Prime Factorization of 13387
11 | 13387 |
1217 | 1217 |
1 |
Prime factors of 13387 are 11,1217. Prime factorization of 13387 in exponential form is:
13387 = 111×12171
∴ So by taking common prime factors GCF of 13383 and 13387 is 1
Factors of 13383
List of positive integer factors of 13383 that divides 13383 without a remainder.
1,3,9,1487,4461,13383
Factors of 13387
List of positive integer factors of 13387 that divides 13387 without a remainder.
1,11,1217,13387
Greatest Common Factor
We found the factors and prime factorization of 13383 and 13387. The biggest common factor number is the GCF number.
So the greatest common factor 13383 and 13387 is 1.
Also check out the Least Common Multiple of 13383 and 13387
(i) The GCF of 13383 and 13387 is associative
GCF of 13383 and 13387 = GCF of 13387 and 13383
1. What is the GCF of 13383 and 13387?
Answer: GCF of 13383 and 13387 is 1.
2. What are the Factors of 13383?
Answer: Factors of 13383 are 1, 3, 9, 1487, 4461, 13383. There are 6 integers that are factors of 13383. The greatest factor of 13383 is 13383.
3. What are the Factors of 13387?
Answer: Factors of 13387 are 1, 11, 1217, 13387. There are 4 integers that are factors of 13387. The greatest factor of 13387 is 13387.
4. How to Find the GCF of 13383 and 13387?
Answer:
Greatest Common Factor of 13383 and 13387 = 1
Step 1: Find the prime factorization of 13383
13383 = 3 x 3 x 1487
Step 2: Find the prime factorization of 13387
13387 = 11 x 1217
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 13383 and 13387 is 1