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 1239, 1242 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1239 and 1242 is 3.
GCF(1239,1242) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1239
3 | 1239 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 1239 are 3,7,59. Prime factorization of 1239 in exponential form is:
1239 = 31×71×591
Prime Factorization of 1242
2 | 1242 |
3 | 621 |
3 | 207 |
3 | 69 |
23 | 23 |
1 |
Prime factors of 1242 are 2,3,23. Prime factorization of 1242 in exponential form is:
1242 = 21×33×231
∴ So by taking common prime factors GCF of 1239 and 1242 is 3
Factors of 1239
List of positive integer factors of 1239 that divides 1239 without a remainder.
1,3,7,21,59,177,413,1239
Factors of 1242
List of positive integer factors of 1242 that divides 1242 without a remainder.
1,2,3,6,9,18,23,27,46,54,69,138,207,414,621,1242
Greatest Common Factor
We found the factors and prime factorization of 1239 and 1242. The biggest common factor number is the GCF number.
So the greatest common factor 1239 and 1242 is 3.
Also check out the Least Common Multiple of 1239 and 1242
(i) The GCF of 1239 and 1242 is associative
GCF of 1239 and 1242 = GCF of 1242 and 1239
1. What is the GCF of 1239 and 1242?
Answer: GCF of 1239 and 1242 is 3.
2. What are the Factors of 1239?
Answer: Factors of 1239 are 1, 3, 7, 21, 59, 177, 413, 1239. There are 8 integers that are factors of 1239. The greatest factor of 1239 is 1239.
3. What are the Factors of 1242?
Answer: Factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242. There are 16 integers that are factors of 1242. The greatest factor of 1242 is 1242.
4. How to Find the GCF of 1239 and 1242?
Answer:
Greatest Common Factor of 1239 and 1242 = 3
Step 1: Find the prime factorization of 1239
1239 = 3 x 7 x 59
Step 2: Find the prime factorization of 1242
1242 = 2 x 3 x 3 x 3 x 23
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 1239 and 1242 is 3