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 1343, 1351 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1343 and 1351 is 1.
GCF(1343,1351) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1343
17 | 1343 |
79 | 79 |
1 |
Prime factors of 1343 are 17,79. Prime factorization of 1343 in exponential form is:
1343 = 171×791
Prime Factorization of 1351
7 | 1351 |
193 | 193 |
1 |
Prime factors of 1351 are 7,193. Prime factorization of 1351 in exponential form is:
1351 = 71×1931
∴ So by taking common prime factors GCF of 1343 and 1351 is 1
Factors of 1343
List of positive integer factors of 1343 that divides 1343 without a remainder.
1,17,79,1343
Factors of 1351
List of positive integer factors of 1351 that divides 1351 without a remainder.
1,7,193,1351
Greatest Common Factor
We found the factors and prime factorization of 1343 and 1351. The biggest common factor number is the GCF number.
So the greatest common factor 1343 and 1351 is 1.
Also check out the Least Common Multiple of 1343 and 1351
(i) The GCF of 1343 and 1351 is associative
GCF of 1343 and 1351 = GCF of 1351 and 1343
1. What is the GCF of 1343 and 1351?
Answer: GCF of 1343 and 1351 is 1.
2. What are the Factors of 1343?
Answer: Factors of 1343 are 1, 17, 79, 1343. There are 4 integers that are factors of 1343. The greatest factor of 1343 is 1343.
3. What are the Factors of 1351?
Answer: Factors of 1351 are 1, 7, 193, 1351. There are 4 integers that are factors of 1351. The greatest factor of 1351 is 1351.
4. How to Find the GCF of 1343 and 1351?
Answer:
Greatest Common Factor of 1343 and 1351 = 1
Step 1: Find the prime factorization of 1343
1343 = 17 x 79
Step 2: Find the prime factorization of 1351
1351 = 7 x 193
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 1343 and 1351 is 1