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 10239, 10242 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10239 and 10242 is 3.
GCF(10239,10242) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10239
3 | 10239 |
3413 | 3413 |
1 |
Prime factors of 10239 are 3,3413. Prime factorization of 10239 in exponential form is:
10239 = 31×34131
Prime Factorization of 10242
2 | 10242 |
3 | 5121 |
3 | 1707 |
569 | 569 |
1 |
Prime factors of 10242 are 2,3,569. Prime factorization of 10242 in exponential form is:
10242 = 21×32×5691
∴ So by taking common prime factors GCF of 10239 and 10242 is 3
Factors of 10239
List of positive integer factors of 10239 that divides 10239 without a remainder.
1,3,3413,10239
Factors of 10242
List of positive integer factors of 10242 that divides 10242 without a remainder.
1,2,3,6,9,18,569,1138,1707,3414,5121,10242
Greatest Common Factor
We found the factors and prime factorization of 10239 and 10242. The biggest common factor number is the GCF number.
So the greatest common factor 10239 and 10242 is 3.
Also check out the Least Common Multiple of 10239 and 10242
(i) The GCF of 10239 and 10242 is associative
GCF of 10239 and 10242 = GCF of 10242 and 10239
1. What is the GCF of 10239 and 10242?
Answer: GCF of 10239 and 10242 is 3.
2. What are the Factors of 10239?
Answer: Factors of 10239 are 1, 3, 3413, 10239. There are 4 integers that are factors of 10239. The greatest factor of 10239 is 10239.
3. What are the Factors of 10242?
Answer: Factors of 10242 are 1, 2, 3, 6, 9, 18, 569, 1138, 1707, 3414, 5121, 10242. There are 12 integers that are factors of 10242. The greatest factor of 10242 is 10242.
4. How to Find the GCF of 10239 and 10242?
Answer:
Greatest Common Factor of 10239 and 10242 = 3
Step 1: Find the prime factorization of 10239
10239 = 3 x 3413
Step 2: Find the prime factorization of 10242
10242 = 2 x 3 x 3 x 569
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 10239 and 10242 is 3