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 5339, 5344 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5339 and 5344 is 1.
GCF(5339,5344) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5339
19 | 5339 |
281 | 281 |
1 |
Prime factors of 5339 are 19,281. Prime factorization of 5339 in exponential form is:
5339 = 191×2811
Prime Factorization of 5344
2 | 5344 |
2 | 2672 |
2 | 1336 |
2 | 668 |
2 | 334 |
167 | 167 |
1 |
Prime factors of 5344 are 2,167. Prime factorization of 5344 in exponential form is:
5344 = 25×1671
∴ So by taking common prime factors GCF of 5339 and 5344 is 1
Factors of 5339
List of positive integer factors of 5339 that divides 5339 without a remainder.
1,19,281,5339
Factors of 5344
List of positive integer factors of 5344 that divides 5344 without a remainder.
1,2,4,8,16,32,167,334,668,1336,2672,5344
Greatest Common Factor
We found the factors and prime factorization of 5339 and 5344. The biggest common factor number is the GCF number.
So the greatest common factor 5339 and 5344 is 1.
Also check out the Least Common Multiple of 5339 and 5344
(i) The GCF of 5339 and 5344 is associative
GCF of 5339 and 5344 = GCF of 5344 and 5339
1. What is the GCF of 5339 and 5344?
Answer: GCF of 5339 and 5344 is 1.
2. What are the Factors of 5339?
Answer: Factors of 5339 are 1, 19, 281, 5339. There are 4 integers that are factors of 5339. The greatest factor of 5339 is 5339.
3. What are the Factors of 5344?
Answer: Factors of 5344 are 1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344. There are 12 integers that are factors of 5344. The greatest factor of 5344 is 5344.
4. How to Find the GCF of 5339 and 5344?
Answer:
Greatest Common Factor of 5339 and 5344 = 1
Step 1: Find the prime factorization of 5339
5339 = 19 x 281
Step 2: Find the prime factorization of 5344
5344 = 2 x 2 x 2 x 2 x 2 x 167
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 5339 and 5344 is 1