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 5386, 5394 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5386 and 5394 is 2.
GCF(5386,5394) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5386
2 | 5386 |
2693 | 2693 |
1 |
Prime factors of 5386 are 2,2693. Prime factorization of 5386 in exponential form is:
5386 = 21×26931
Prime Factorization of 5394
2 | 5394 |
3 | 2697 |
29 | 899 |
31 | 31 |
1 |
Prime factors of 5394 are 2,3,29,31. Prime factorization of 5394 in exponential form is:
5394 = 21×31×291×311
∴ So by taking common prime factors GCF of 5386 and 5394 is 2
Factors of 5386
List of positive integer factors of 5386 that divides 5386 without a remainder.
1,2,2693,5386
Factors of 5394
List of positive integer factors of 5394 that divides 5394 without a remainder.
1,2,3,6,29,31,58,62,87,93,174,186,899,1798,2697,5394
Greatest Common Factor
We found the factors and prime factorization of 5386 and 5394. The biggest common factor number is the GCF number.
So the greatest common factor 5386 and 5394 is 2.
Also check out the Least Common Multiple of 5386 and 5394
(i) The GCF of 5386 and 5394 is associative
GCF of 5386 and 5394 = GCF of 5394 and 5386
1. What is the GCF of 5386 and 5394?
Answer: GCF of 5386 and 5394 is 2.
2. What are the Factors of 5386?
Answer: Factors of 5386 are 1, 2, 2693, 5386. There are 4 integers that are factors of 5386. The greatest factor of 5386 is 5386.
3. What are the Factors of 5394?
Answer: Factors of 5394 are 1, 2, 3, 6, 29, 31, 58, 62, 87, 93, 174, 186, 899, 1798, 2697, 5394. There are 16 integers that are factors of 5394. The greatest factor of 5394 is 5394.
4. How to Find the GCF of 5386 and 5394?
Answer:
Greatest Common Factor of 5386 and 5394 = 2
Step 1: Find the prime factorization of 5386
5386 = 2 x 2693
Step 2: Find the prime factorization of 5394
5394 = 2 x 3 x 29 x 31
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 5386 and 5394 is 2