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 4605, 4609 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4605 and 4609 is 1.
GCF(4605,4609) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4605
3 | 4605 |
5 | 1535 |
307 | 307 |
1 |
Prime factors of 4605 are 3,5,307. Prime factorization of 4605 in exponential form is:
4605 = 31×51×3071
Prime Factorization of 4609
11 | 4609 |
419 | 419 |
1 |
Prime factors of 4609 are 11,419. Prime factorization of 4609 in exponential form is:
4609 = 111×4191
∴ So by taking common prime factors GCF of 4605 and 4609 is 1
Factors of 4605
List of positive integer factors of 4605 that divides 4605 without a remainder.
1,3,5,15,307,921,1535,4605
Factors of 4609
List of positive integer factors of 4609 that divides 4609 without a remainder.
1,11,419,4609
Greatest Common Factor
We found the factors and prime factorization of 4605 and 4609. The biggest common factor number is the GCF number.
So the greatest common factor 4605 and 4609 is 1.
Also check out the Least Common Multiple of 4605 and 4609
(i) The GCF of 4605 and 4609 is associative
GCF of 4605 and 4609 = GCF of 4609 and 4605
1. What is the GCF of 4605 and 4609?
Answer: GCF of 4605 and 4609 is 1.
2. What are the Factors of 4605?
Answer: Factors of 4605 are 1, 3, 5, 15, 307, 921, 1535, 4605. There are 8 integers that are factors of 4605. The greatest factor of 4605 is 4605.
3. What are the Factors of 4609?
Answer: Factors of 4609 are 1, 11, 419, 4609. There are 4 integers that are factors of 4609. The greatest factor of 4609 is 4609.
4. How to Find the GCF of 4605 and 4609?
Answer:
Greatest Common Factor of 4605 and 4609 = 1
Step 1: Find the prime factorization of 4605
4605 = 3 x 5 x 307
Step 2: Find the prime factorization of 4609
4609 = 11 x 419
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 4605 and 4609 is 1