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 1347, 1349 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1347 and 1349 is 1.
GCF(1347,1349) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1347
3 | 1347 |
449 | 449 |
1 |
Prime factors of 1347 are 3,449. Prime factorization of 1347 in exponential form is:
1347 = 31×4491
Prime Factorization of 1349
19 | 1349 |
71 | 71 |
1 |
Prime factors of 1349 are 19,71. Prime factorization of 1349 in exponential form is:
1349 = 191×711
∴ So by taking common prime factors GCF of 1347 and 1349 is 1
Factors of 1347
List of positive integer factors of 1347 that divides 1347 without a remainder.
1,3,449,1347
Factors of 1349
List of positive integer factors of 1349 that divides 1349 without a remainder.
1,19,71,1349
Greatest Common Factor
We found the factors and prime factorization of 1347 and 1349. The biggest common factor number is the GCF number.
So the greatest common factor 1347 and 1349 is 1.
Also check out the Least Common Multiple of 1347 and 1349
(i) The GCF of 1347 and 1349 is associative
GCF of 1347 and 1349 = GCF of 1349 and 1347
1. What is the GCF of 1347 and 1349?
Answer: GCF of 1347 and 1349 is 1.
2. What are the Factors of 1347?
Answer: Factors of 1347 are 1, 3, 449, 1347. There are 4 integers that are factors of 1347. The greatest factor of 1347 is 1347.
3. What are the Factors of 1349?
Answer: Factors of 1349 are 1, 19, 71, 1349. There are 4 integers that are factors of 1349. The greatest factor of 1349 is 1349.
4. How to Find the GCF of 1347 and 1349?
Answer:
Greatest Common Factor of 1347 and 1349 = 1
Step 1: Find the prime factorization of 1347
1347 = 3 x 449
Step 2: Find the prime factorization of 1349
1349 = 19 x 71
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 1347 and 1349 is 1