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 604, 609 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 604 and 609 is 1.
GCF(604,609) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 604
2 | 604 |
2 | 302 |
151 | 151 |
1 |
Prime factors of 604 are 2,151. Prime factorization of 604 in exponential form is:
604 = 22×1511
Prime Factorization of 609
3 | 609 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 609 are 3,7,29. Prime factorization of 609 in exponential form is:
609 = 31×71×291
∴ So by taking common prime factors GCF of 604 and 609 is 1
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors and prime factorization of 604 and 609. The biggest common factor number is the GCF number.
So the greatest common factor 604 and 609 is 1.
Also check out the Least Common Multiple of 604 and 609
(i) The GCF of 604 and 609 is associative
GCF of 604 and 609 = GCF of 609 and 604
1. What is the GCF of 604 and 609?
Answer: GCF of 604 and 609 is 1.
2. What are the Factors of 604?
Answer: Factors of 604 are 1, 2, 4, 151, 302, 604. There are 6 integers that are factors of 604. The greatest factor of 604 is 604.
3. What are the Factors of 609?
Answer: Factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609. There are 8 integers that are factors of 609. The greatest factor of 609 is 609.
4. How to Find the GCF of 604 and 609?
Answer:
Greatest Common Factor of 604 and 609 = 1
Step 1: Find the prime factorization of 604
604 = 2 x 2 x 151
Step 2: Find the prime factorization of 609
609 = 3 x 7 x 29
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 604 and 609 is 1