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 1267, 1269 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1267 and 1269 is 1.
GCF(1267,1269) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1267
7 | 1267 |
181 | 181 |
1 |
Prime factors of 1267 are 7,181. Prime factorization of 1267 in exponential form is:
1267 = 71×1811
Prime Factorization of 1269
3 | 1269 |
3 | 423 |
3 | 141 |
47 | 47 |
1 |
Prime factors of 1269 are 3,47. Prime factorization of 1269 in exponential form is:
1269 = 33×471
∴ So by taking common prime factors GCF of 1267 and 1269 is 1
Factors of 1267
List of positive integer factors of 1267 that divides 1267 without a remainder.
1,7,181,1267
Factors of 1269
List of positive integer factors of 1269 that divides 1269 without a remainder.
1,3,9,27,47,141,423,1269
Greatest Common Factor
We found the factors and prime factorization of 1267 and 1269. The biggest common factor number is the GCF number.
So the greatest common factor 1267 and 1269 is 1.
Also check out the Least Common Multiple of 1267 and 1269
(i) The GCF of 1267 and 1269 is associative
GCF of 1267 and 1269 = GCF of 1269 and 1267
1. What is the GCF of 1267 and 1269?
Answer: GCF of 1267 and 1269 is 1.
2. What are the Factors of 1267?
Answer: Factors of 1267 are 1, 7, 181, 1267. There are 4 integers that are factors of 1267. The greatest factor of 1267 is 1267.
3. What are the Factors of 1269?
Answer: Factors of 1269 are 1, 3, 9, 27, 47, 141, 423, 1269. There are 8 integers that are factors of 1269. The greatest factor of 1269 is 1269.
4. How to Find the GCF of 1267 and 1269?
Answer:
Greatest Common Factor of 1267 and 1269 = 1
Step 1: Find the prime factorization of 1267
1267 = 7 x 181
Step 2: Find the prime factorization of 1269
1269 = 3 x 3 x 3 x 47
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 1267 and 1269 is 1