Greatest Common Factor of 1604 and 1610

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, 1610 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1604 and 1610 is 2.

GCF(1604,1610) = 2

GCF of 1604 and 1610

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

GCF of:
and

Greatest Common Factor of 1604 and 1610

GCF of 1604 and 1610 is 2

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 1610


2 1610
5 805
7 161
23 23
1

Prime factors of 1610 are 2,5,7,23. Prime factorization of 1610 in exponential form is:

1610 = 21×51×71×231

∴ So by taking common prime factors GCF of 1604 and 1610 is 2

Greatest Common Factor of 1604 and 1610 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 1610

List of positive integer factors of 1610 that divides 1610 without a remainder.

1,2,5,7,10,14,23,35,46,70,115,161,230,322,805,1610

Greatest Common Factor

We found the factors and prime factorization of 1604 and 1610. The biggest common factor number is the GCF number.
So the greatest common factor 1604 and 1610 is 2.

Also check out the Least Common Multiple of 1604 and 1610

Properties of GCF 1604 and 1610

(i) The GCF of 1604 and 1610 is associative

GCF of 1604 and 1610 = GCF of 1610 and 1604

Related Greatest Common Factor of 1604

Related Greatest Common Factor of 1610

Frequently Asked Questions on GCF of 1604 and 1610

1. What is the GCF of 1604 and 1610?

Answer: GCF of 1604 and 1610 is 2.

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 1610?

Answer: Factors of 1610 are 1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610. There are 16 integers that are factors of 1610. The greatest factor of 1610 is 1610.

4. How to Find the GCF of 1604 and 1610?

Answer:

Greatest Common Factor of 1604 and 1610 = 2

Step 1: Find the prime factorization of 1604

1604 = 2 x 2 x 401

Step 2: Find the prime factorization of 1610

1610 = 2 x 5 x 7 x 23

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 1604 and 1610 is 2