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 269, 276 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 269 and 276 is 1.
GCF(269,276) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 269
269 | 269 |
1 |
Prime factors of 269 are 269. Prime factorization of 269 in exponential form is:
269 = 2691
Prime Factorization of 276
2 | 276 |
2 | 138 |
3 | 69 |
23 | 23 |
1 |
Prime factors of 276 are 2.Prime factorization of 276 in exponential form is:
276 = 22×31×231
∴ So by taking common prime factors GCF of 269 and 276 is 1
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors and prime factorization of 269 and 276. The biggest common factor number is the GCF number.
So the greatest common factor 269 and 276 is 1.
Also check out the Least Common Multiple of 269 and 276
(i) The GCF of 269 and 276 is associative
GCF of 269 and 276 = GCF of 276 and 269
1. What is the GCF of 269 and 276?
Answer: GCF of 269 and 276 is 1.
2. What are the Factors of 269?
Answer: Factors of 269 are 1, 269. There are 2 integers that are factors of 269. The greatest factor of 269 is 269.
3. What are the Factors of 276?
Answer: Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276. There are 12 integers that are factors of 276. The greatest factor of 276 is 276.
4. How to Find the GCF of 269 and 276?
Answer:
Greatest Common Factor of 269 and 276 = 1
Step 1: Find the prime factorization of 269
269 = 269
Step 2: Find the prime factorization of 276
276 = 2 x 2 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 = = 1
Step 4: Therefore, the greatest common factor of 269 and 276 is 1