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 391, 397 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 391 and 397 is 1.
GCF(391,397) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 391
17 | 391 |
23 | 23 |
1 |
Prime factors of 391 are 17,23. Prime factorization of 391 in exponential form is:
391 = 171×231
Prime Factorization of 397
397 | 397 |
1 |
Prime factors of 397 are 397. Prime factorization of 397 in exponential form is:
397 = 3971
∴ So by taking common prime factors GCF of 391 and 397 is 1
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Greatest Common Factor
We found the factors and prime factorization of 391 and 397. The biggest common factor number is the GCF number.
So the greatest common factor 391 and 397 is 1.
Also check out the Least Common Multiple of 391 and 397
(i) The GCF of 391 and 397 is associative
GCF of 391 and 397 = GCF of 397 and 391
1. What is the GCF of 391 and 397?
Answer: GCF of 391 and 397 is 1.
2. What are the Factors of 391?
Answer: Factors of 391 are 1, 17, 23, 391. There are 4 integers that are factors of 391. The greatest factor of 391 is 391.
3. What are the Factors of 397?
Answer: Factors of 397 are 1, 397. There are 2 integers that are factors of 397. The greatest factor of 397 is 397.
4. How to Find the GCF of 391 and 397?
Answer:
Greatest Common Factor of 391 and 397 = 1
Step 1: Find the prime factorization of 391
391 = 17 x 23
Step 2: Find the prime factorization of 397
397 = 397
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 391 and 397 is 1