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 1397, 1405 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1397 and 1405 is 1.
GCF(1397,1405) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1397
11 | 1397 |
127 | 127 |
1 |
Prime factors of 1397 are 11,127. Prime factorization of 1397 in exponential form is:
1397 = 111×1271
Prime Factorization of 1405
5 | 1405 |
281 | 281 |
1 |
Prime factors of 1405 are 5,281. Prime factorization of 1405 in exponential form is:
1405 = 51×2811
∴ So by taking common prime factors GCF of 1397 and 1405 is 1
Factors of 1397
List of positive integer factors of 1397 that divides 1397 without a remainder.
1,11,127,1397
Factors of 1405
List of positive integer factors of 1405 that divides 1405 without a remainder.
1,5,281,1405
Greatest Common Factor
We found the factors and prime factorization of 1397 and 1405. The biggest common factor number is the GCF number.
So the greatest common factor 1397 and 1405 is 1.
Also check out the Least Common Multiple of 1397 and 1405
(i) The GCF of 1397 and 1405 is associative
GCF of 1397 and 1405 = GCF of 1405 and 1397
1. What is the GCF of 1397 and 1405?
Answer: GCF of 1397 and 1405 is 1.
2. What are the Factors of 1397?
Answer: Factors of 1397 are 1, 11, 127, 1397. There are 4 integers that are factors of 1397. The greatest factor of 1397 is 1397.
3. What are the Factors of 1405?
Answer: Factors of 1405 are 1, 5, 281, 1405. There are 4 integers that are factors of 1405. The greatest factor of 1405 is 1405.
4. How to Find the GCF of 1397 and 1405?
Answer:
Greatest Common Factor of 1397 and 1405 = 1
Step 1: Find the prime factorization of 1397
1397 = 11 x 127
Step 2: Find the prime factorization of 1405
1405 = 5 x 281
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 1397 and 1405 is 1