Greatest Common Factor of 1604 and 1607

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, 1607 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1604 and 1607 is 1.

GCF(1604,1607) = 1

GCF of 1604 and 1607

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

GCF of:
and

Greatest Common Factor of 1604 and 1607

GCF of 1604 and 1607 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 1607


1607 1607
1

Prime factors of 1607 are 1607. Prime factorization of 1607 in exponential form is:

1607 = 16071

∴ So by taking common prime factors GCF of 1604 and 1607 is 1

Greatest Common Factor of 1604 and 1607 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 1607

List of positive integer factors of 1607 that divides 1607 without a remainder.

1,1607

Greatest Common Factor

We found the factors and prime factorization of 1604 and 1607. The biggest common factor number is the GCF number.
So the greatest common factor 1604 and 1607 is 1.

Also check out the Least Common Multiple of 1604 and 1607

Properties of GCF 1604 and 1607

(i) The GCF of 1604 and 1607 is associative

GCF of 1604 and 1607 = GCF of 1607 and 1604

Related Greatest Common Factor of 1604

Related Greatest Common Factor of 1607

Frequently Asked Questions on GCF of 1604 and 1607

1. What is the GCF of 1604 and 1607?

Answer: GCF of 1604 and 1607 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 1607?

Answer: Factors of 1607 are 1, 1607. There are 2 integers that are factors of 1607. The greatest factor of 1607 is 1607.

4. How to Find the GCF of 1604 and 1607?

Answer:

Greatest Common Factor of 1604 and 1607 = 1

Step 1: Find the prime factorization of 1604

1604 = 2 x 2 x 401

Step 2: Find the prime factorization of 1607

1607 = 1607

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 1607 is 1