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 5396, 5397 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5396 and 5397 is 1.
GCF(5396,5397) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5396
2 | 5396 |
2 | 2698 |
19 | 1349 |
71 | 71 |
1 |
Prime factors of 5396 are 2,19,71. Prime factorization of 5396 in exponential form is:
5396 = 22×191×711
Prime Factorization of 5397
3 | 5397 |
7 | 1799 |
257 | 257 |
1 |
Prime factors of 5397 are 3,7,257. Prime factorization of 5397 in exponential form is:
5397 = 31×71×2571
∴ So by taking common prime factors GCF of 5396 and 5397 is 1
Factors of 5396
List of positive integer factors of 5396 that divides 5396 without a remainder.
1,2,4,19,38,71,76,142,284,1349,2698,5396
Factors of 5397
List of positive integer factors of 5397 that divides 5397 without a remainder.
1,3,7,21,257,771,1799,5397
Greatest Common Factor
We found the factors and prime factorization of 5396 and 5397. The biggest common factor number is the GCF number.
So the greatest common factor 5396 and 5397 is 1.
Also check out the Least Common Multiple of 5396 and 5397
(i) The GCF of 5396 and 5397 is associative
GCF of 5396 and 5397 = GCF of 5397 and 5396
1. What is the GCF of 5396 and 5397?
Answer: GCF of 5396 and 5397 is 1.
2. What are the Factors of 5396?
Answer: Factors of 5396 are 1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396. There are 12 integers that are factors of 5396. The greatest factor of 5396 is 5396.
3. What are the Factors of 5397?
Answer: Factors of 5397 are 1, 3, 7, 21, 257, 771, 1799, 5397. There are 8 integers that are factors of 5397. The greatest factor of 5397 is 5397.
4. How to Find the GCF of 5396 and 5397?
Answer:
Greatest Common Factor of 5396 and 5397 = 1
Step 1: Find the prime factorization of 5396
5396 = 2 x 2 x 19 x 71
Step 2: Find the prime factorization of 5397
5397 = 3 x 7 x 257
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 5396 and 5397 is 1