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 4455, 4460 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4455 and 4460 is 5.
GCF(4455,4460) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4455
3 | 4455 |
3 | 1485 |
3 | 495 |
3 | 165 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 4455 are 3,5,11. Prime factorization of 4455 in exponential form is:
4455 = 34×51×111
Prime Factorization of 4460
2 | 4460 |
2 | 2230 |
5 | 1115 |
223 | 223 |
1 |
Prime factors of 4460 are 2,5,223. Prime factorization of 4460 in exponential form is:
4460 = 22×51×2231
∴ So by taking common prime factors GCF of 4455 and 4460 is 5
Factors of 4455
List of positive integer factors of 4455 that divides 4455 without a remainder.
1,3,5,9,11,15,27,33,45,55,81,99,135,165,297,405,495,891,1485,4455
Factors of 4460
List of positive integer factors of 4460 that divides 4460 without a remainder.
1,2,4,5,10,20,223,446,892,1115,2230,4460
Greatest Common Factor
We found the factors and prime factorization of 4455 and 4460. The biggest common factor number is the GCF number.
So the greatest common factor 4455 and 4460 is 5.
Also check out the Least Common Multiple of 4455 and 4460
(i) The GCF of 4455 and 4460 is associative
GCF of 4455 and 4460 = GCF of 4460 and 4455
1. What is the GCF of 4455 and 4460?
Answer: GCF of 4455 and 4460 is 5.
2. What are the Factors of 4455?
Answer: Factors of 4455 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 297, 405, 495, 891, 1485, 4455. There are 20 integers that are factors of 4455. The greatest factor of 4455 is 4455.
3. What are the Factors of 4460?
Answer: Factors of 4460 are 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460. There are 12 integers that are factors of 4460. The greatest factor of 4460 is 4460.
4. How to Find the GCF of 4455 and 4460?
Answer:
Greatest Common Factor of 4455 and 4460 = 5
Step 1: Find the prime factorization of 4455
4455 = 3 x 3 x 3 x 3 x 5 x 11
Step 2: Find the prime factorization of 4460
4460 = 2 x 2 x 5 x 223
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 4455 and 4460 is 5