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, 1244 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1239 and 1244 is 1.
GCF(1239,1244) = 1
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 1244
2 | 1244 |
2 | 622 |
311 | 311 |
1 |
Prime factors of 1244 are 2,311. Prime factorization of 1244 in exponential form is:
1244 = 22×3111
∴ So by taking common prime factors GCF of 1239 and 1244 is 1
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 1244
List of positive integer factors of 1244 that divides 1244 without a remainder.
1,2,4,311,622,1244
Greatest Common Factor
We found the factors and prime factorization of 1239 and 1244. The biggest common factor number is the GCF number.
So the greatest common factor 1239 and 1244 is 1.
Also check out the Least Common Multiple of 1239 and 1244
(i) The GCF of 1239 and 1244 is associative
GCF of 1239 and 1244 = GCF of 1244 and 1239
1. What is the GCF of 1239 and 1244?
Answer: GCF of 1239 and 1244 is 1.
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 1244?
Answer: Factors of 1244 are 1, 2, 4, 311, 622, 1244. There are 6 integers that are factors of 1244. The greatest factor of 1244 is 1244.
4. How to Find the GCF of 1239 and 1244?
Answer:
Greatest Common Factor of 1239 and 1244 = 1
Step 1: Find the prime factorization of 1239
1239 = 3 x 7 x 59
Step 2: Find the prime factorization of 1244
1244 = 2 x 2 x 311
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 1239 and 1244 is 1