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 5384, 5387 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5384 and 5387 is 1.
GCF(5384,5387) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5384
2 | 5384 |
2 | 2692 |
2 | 1346 |
673 | 673 |
1 |
Prime factors of 5384 are 2,673. Prime factorization of 5384 in exponential form is:
5384 = 23×6731
Prime Factorization of 5387
5387 | 5387 |
1 |
Prime factors of 5387 are 5387. Prime factorization of 5387 in exponential form is:
5387 = 53871
∴ So by taking common prime factors GCF of 5384 and 5387 is 1
Factors of 5384
List of positive integer factors of 5384 that divides 5384 without a remainder.
1,2,4,8,673,1346,2692,5384
Factors of 5387
List of positive integer factors of 5387 that divides 5387 without a remainder.
1,5387
Greatest Common Factor
We found the factors and prime factorization of 5384 and 5387. The biggest common factor number is the GCF number.
So the greatest common factor 5384 and 5387 is 1.
Also check out the Least Common Multiple of 5384 and 5387
(i) The GCF of 5384 and 5387 is associative
GCF of 5384 and 5387 = GCF of 5387 and 5384
1. What is the GCF of 5384 and 5387?
Answer: GCF of 5384 and 5387 is 1.
2. What are the Factors of 5384?
Answer: Factors of 5384 are 1, 2, 4, 8, 673, 1346, 2692, 5384. There are 8 integers that are factors of 5384. The greatest factor of 5384 is 5384.
3. What are the Factors of 5387?
Answer: Factors of 5387 are 1, 5387. There are 2 integers that are factors of 5387. The greatest factor of 5387 is 5387.
4. How to Find the GCF of 5384 and 5387?
Answer:
Greatest Common Factor of 5384 and 5387 = 1
Step 1: Find the prime factorization of 5384
5384 = 2 x 2 x 2 x 673
Step 2: Find the prime factorization of 5387
5387 = 5387
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 5384 and 5387 is 1