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 1236, 1239 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1236 and 1239 is 3.
GCF(1236,1239) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1236
2 | 1236 |
2 | 618 |
3 | 309 |
103 | 103 |
1 |
Prime factors of 1236 are 2,3,103. Prime factorization of 1236 in exponential form is:
1236 = 22×31×1031
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
∴ So by taking common prime factors GCF of 1236 and 1239 is 3
Factors of 1236
List of positive integer factors of 1236 that divides 1236 without a remainder.
1,2,3,4,6,12,103,206,309,412,618,1236
Factors of 1239
List of positive integer factors of 1239 that divides 1239 without a remainder.
1,3,7,21,59,177,413,1239
Greatest Common Factor
We found the factors and prime factorization of 1236 and 1239. The biggest common factor number is the GCF number.
So the greatest common factor 1236 and 1239 is 3.
Also check out the Least Common Multiple of 1236 and 1239
(i) The GCF of 1236 and 1239 is associative
GCF of 1236 and 1239 = GCF of 1239 and 1236
1. What is the GCF of 1236 and 1239?
Answer: GCF of 1236 and 1239 is 3.
2. What are the Factors of 1236?
Answer: Factors of 1236 are 1, 2, 3, 4, 6, 12, 103, 206, 309, 412, 618, 1236. There are 12 integers that are factors of 1236. The greatest factor of 1236 is 1236.
3. 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.
4. How to Find the GCF of 1236 and 1239?
Answer:
Greatest Common Factor of 1236 and 1239 = 3
Step 1: Find the prime factorization of 1236
1236 = 2 x 2 x 3 x 103
Step 2: Find the prime factorization of 1239
1239 = 3 x 7 x 59
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 1236 and 1239 is 3