Greatest Common Factor of 1604 and 1609

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 1604, 1609 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1604 and 1609 is 1.

GCF(1604,1609) = 1

GCF of 1604 and 1609

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1604 and 1609

GCF of 1604 and 1609 is 1

Prime Factorization of 1604


2 1604
2 802
401 401
1

Prime factors of 1604 are 2,401. Prime factorization of 1604 in exponential form is:

1604 = 22×4011

Prime Factorization of 1609


1609 1609
1

Prime factors of 1609 are 1609. Prime factorization of 1609 in exponential form is:

1609 = 16091

∴ So by taking common prime factors GCF of 1604 and 1609 is 1

Greatest Common Factor of 1604 and 1609 by matching factors method

Factors of 1604

List of positive integer factors of 1604 that divides 1604 without a remainder.

1,2,4,401,802,1604

Factors of 1609

List of positive integer factors of 1609 that divides 1609 without a remainder.

1,1609

Greatest Common Factor

We found the factors and prime factorization of 1604 and 1609. The biggest common factor number is the GCF number.
So the greatest common factor 1604 and 1609 is 1.

Also check out the Least Common Multiple of 1604 and 1609

Properties of GCF 1604 and 1609

(i) The GCF of 1604 and 1609 is associative

GCF of 1604 and 1609 = GCF of 1609 and 1604

Related Greatest Common Factor of 1604

Related Greatest Common Factor of 1609

Frequently Asked Questions on GCF of 1604 and 1609

1. What is the GCF of 1604 and 1609?

Answer: GCF of 1604 and 1609 is 1.

2. What are the Factors of 1604?

Answer: Factors of 1604 are 1, 2, 4, 401, 802, 1604. There are 6 integers that are factors of 1604. The greatest factor of 1604 is 1604.

3. What are the Factors of 1609?

Answer: Factors of 1609 are 1, 1609. There are 2 integers that are factors of 1609. The greatest factor of 1609 is 1609.

4. How to Find the GCF of 1604 and 1609?

Answer:

Greatest Common Factor of 1604 and 1609 = 1

Step 1: Find the prime factorization of 1604

1604 = 2 x 2 x 401

Step 2: Find the prime factorization of 1609

1609 = 1609

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 1604 and 1609 is 1