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 1391, 1394 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1391 and 1394 is 1.
GCF(1391,1394) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1391
13 | 1391 |
107 | 107 |
1 |
Prime factors of 1391 are 13,107. Prime factorization of 1391 in exponential form is:
1391 = 131×1071
Prime Factorization of 1394
2 | 1394 |
17 | 697 |
41 | 41 |
1 |
Prime factors of 1394 are 2,17,41. Prime factorization of 1394 in exponential form is:
1394 = 21×171×411
∴ So by taking common prime factors GCF of 1391 and 1394 is 1
Factors of 1391
List of positive integer factors of 1391 that divides 1391 without a remainder.
1,13,107,1391
Factors of 1394
List of positive integer factors of 1394 that divides 1394 without a remainder.
1,2,17,34,41,82,697,1394
Greatest Common Factor
We found the factors and prime factorization of 1391 and 1394. The biggest common factor number is the GCF number.
So the greatest common factor 1391 and 1394 is 1.
Also check out the Least Common Multiple of 1391 and 1394
(i) The GCF of 1391 and 1394 is associative
GCF of 1391 and 1394 = GCF of 1394 and 1391
1. What is the GCF of 1391 and 1394?
Answer: GCF of 1391 and 1394 is 1.
2. What are the Factors of 1391?
Answer: Factors of 1391 are 1, 13, 107, 1391. There are 4 integers that are factors of 1391. The greatest factor of 1391 is 1391.
3. What are the Factors of 1394?
Answer: Factors of 1394 are 1, 2, 17, 34, 41, 82, 697, 1394. There are 8 integers that are factors of 1394. The greatest factor of 1394 is 1394.
4. How to Find the GCF of 1391 and 1394?
Answer:
Greatest Common Factor of 1391 and 1394 = 1
Step 1: Find the prime factorization of 1391
1391 = 13 x 107
Step 2: Find the prime factorization of 1394
1394 = 2 x 17 x 41
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 1391 and 1394 is 1