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 10339, 10344 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10339 and 10344 is 1.
GCF(10339,10344) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10339
7 | 10339 |
7 | 1477 |
211 | 211 |
1 |
Prime factors of 10339 are 7,211. Prime factorization of 10339 in exponential form is:
10339 = 72×2111
Prime Factorization of 10344
2 | 10344 |
2 | 5172 |
2 | 2586 |
3 | 1293 |
431 | 431 |
1 |
Prime factors of 10344 are 2,3,431. Prime factorization of 10344 in exponential form is:
10344 = 23×31×4311
∴ So by taking common prime factors GCF of 10339 and 10344 is 1
Factors of 10339
List of positive integer factors of 10339 that divides 10339 without a remainder.
1,7,49,211,1477,10339
Factors of 10344
List of positive integer factors of 10344 that divides 10344 without a remainder.
1,2,3,4,6,8,12,24,431,862,1293,1724,2586,3448,5172,10344
Greatest Common Factor
We found the factors and prime factorization of 10339 and 10344. The biggest common factor number is the GCF number.
So the greatest common factor 10339 and 10344 is 1.
Also check out the Least Common Multiple of 10339 and 10344
(i) The GCF of 10339 and 10344 is associative
GCF of 10339 and 10344 = GCF of 10344 and 10339
1. What is the GCF of 10339 and 10344?
Answer: GCF of 10339 and 10344 is 1.
2. What are the Factors of 10339?
Answer: Factors of 10339 are 1, 7, 49, 211, 1477, 10339. There are 6 integers that are factors of 10339. The greatest factor of 10339 is 10339.
3. What are the Factors of 10344?
Answer: Factors of 10344 are 1, 2, 3, 4, 6, 8, 12, 24, 431, 862, 1293, 1724, 2586, 3448, 5172, 10344. There are 16 integers that are factors of 10344. The greatest factor of 10344 is 10344.
4. How to Find the GCF of 10339 and 10344?
Answer:
Greatest Common Factor of 10339 and 10344 = 1
Step 1: Find the prime factorization of 10339
10339 = 7 x 7 x 211
Step 2: Find the prime factorization of 10344
10344 = 2 x 2 x 2 x 3 x 431
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 10339 and 10344 is 1