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, 10347 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10339 and 10347 is 1.
GCF(10339,10347) = 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 10347
3 | 10347 |
3449 | 3449 |
1 |
Prime factors of 10347 are 3,3449. Prime factorization of 10347 in exponential form is:
10347 = 31×34491
∴ So by taking common prime factors GCF of 10339 and 10347 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 10347
List of positive integer factors of 10347 that divides 10347 without a remainder.
1,3,3449,10347
Greatest Common Factor
We found the factors and prime factorization of 10339 and 10347. The biggest common factor number is the GCF number.
So the greatest common factor 10339 and 10347 is 1.
Also check out the Least Common Multiple of 10339 and 10347
(i) The GCF of 10339 and 10347 is associative
GCF of 10339 and 10347 = GCF of 10347 and 10339
1. What is the GCF of 10339 and 10347?
Answer: GCF of 10339 and 10347 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 10347?
Answer: Factors of 10347 are 1, 3, 3449, 10347. There are 4 integers that are factors of 10347. The greatest factor of 10347 is 10347.
4. How to Find the GCF of 10339 and 10347?
Answer:
Greatest Common Factor of 10339 and 10347 = 1
Step 1: Find the prime factorization of 10339
10339 = 7 x 7 x 211
Step 2: Find the prime factorization of 10347
10347 = 3 x 3449
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 10347 is 1