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 4266, 4269 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4266 and 4269 is 3.
GCF(4266,4269) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4266
2 | 4266 |
3 | 2133 |
3 | 711 |
3 | 237 |
79 | 79 |
1 |
Prime factors of 4266 are 2,3,79. Prime factorization of 4266 in exponential form is:
4266 = 21×33×791
Prime Factorization of 4269
3 | 4269 |
1423 | 1423 |
1 |
Prime factors of 4269 are 3,1423. Prime factorization of 4269 in exponential form is:
4269 = 31×14231
∴ So by taking common prime factors GCF of 4266 and 4269 is 3
Factors of 4266
List of positive integer factors of 4266 that divides 4266 without a remainder.
1,2,3,6,9,18,27,54,79,158,237,474,711,1422,2133,4266
Factors of 4269
List of positive integer factors of 4269 that divides 4269 without a remainder.
1,3,1423,4269
Greatest Common Factor
We found the factors and prime factorization of 4266 and 4269. The biggest common factor number is the GCF number.
So the greatest common factor 4266 and 4269 is 3.
Also check out the Least Common Multiple of 4266 and 4269
(i) The GCF of 4266 and 4269 is associative
GCF of 4266 and 4269 = GCF of 4269 and 4266
1. What is the GCF of 4266 and 4269?
Answer: GCF of 4266 and 4269 is 3.
2. What are the Factors of 4266?
Answer: Factors of 4266 are 1, 2, 3, 6, 9, 18, 27, 54, 79, 158, 237, 474, 711, 1422, 2133, 4266. There are 16 integers that are factors of 4266. The greatest factor of 4266 is 4266.
3. What are the Factors of 4269?
Answer: Factors of 4269 are 1, 3, 1423, 4269. There are 4 integers that are factors of 4269. The greatest factor of 4269 is 4269.
4. How to Find the GCF of 4266 and 4269?
Answer:
Greatest Common Factor of 4266 and 4269 = 3
Step 1: Find the prime factorization of 4266
4266 = 2 x 3 x 3 x 3 x 79
Step 2: Find the prime factorization of 4269
4269 = 3 x 1423
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 4266 and 4269 is 3