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 1279, 1287 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1279 and 1287 is 1.
GCF(1279,1287) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1279
1279 | 1279 |
1 |
Prime factors of 1279 are 1279. Prime factorization of 1279 in exponential form is:
1279 = 12791
Prime Factorization of 1287
3 | 1287 |
3 | 429 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 1287 are 3.Prime factorization of 1287 in exponential form is:
1287 = 32×111×131
∴ So by taking common prime factors GCF of 1279 and 1287 is 1
Factors of 1279
List of positive integer factors of 1279 that divides 1279 without a remainder.
1,1279
Factors of 1287
List of positive integer factors of 1287 that divides 1287 without a remainder.
1,3,9,11,13,33,39,99,117,143,429,1287
Greatest Common Factor
We found the factors and prime factorization of 1279 and 1287. The biggest common factor number is the GCF number.
So the greatest common factor 1279 and 1287 is 1.
Also check out the Least Common Multiple of 1279 and 1287
(i) The GCF of 1279 and 1287 is associative
GCF of 1279 and 1287 = GCF of 1287 and 1279
1. What is the GCF of 1279 and 1287?
Answer: GCF of 1279 and 1287 is 1.
2. What are the Factors of 1279?
Answer: Factors of 1279 are 1, 1279. There are 2 integers that are factors of 1279. The greatest factor of 1279 is 1279.
3. What are the Factors of 1287?
Answer: Factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287. There are 12 integers that are factors of 1287. The greatest factor of 1287 is 1287.
4. How to Find the GCF of 1279 and 1287?
Answer:
Greatest Common Factor of 1279 and 1287 = 1
Step 1: Find the prime factorization of 1279
1279 = 1279
Step 2: Find the prime factorization of 1287
1287 = 3 x 3 x 11 x 13
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 1279 and 1287 is 1