Greatest Common Factor of 603 and 609

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 603, 609 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 603 and 609 is 3.

GCF(603,609) = 3

GCF of 603 and 609

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

GCF of:
and

Greatest Common Factor of 603 and 609

GCF of 603 and 609 is 3

Prime Factorization of 603


3 603
3 201
67 67
1

Prime factors of 603 are 3,67. Prime factorization of 603 in exponential form is:

603 = 32×671

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 603 and 609 is 3

Greatest Common Factor of 603 and 609 by matching factors method

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

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 603 and 609. The biggest common factor number is the GCF number.
So the greatest common factor 603 and 609 is 3.

Also check out the Least Common Multiple of 603 and 609

Properties of GCF 603 and 609

(i) The GCF of 603 and 609 is associative

GCF of 603 and 609 = GCF of 609 and 603

Related Greatest Common Factor of 603

Related Greatest Common Factor of 609

Frequently Asked Questions on GCF of 603 and 609

1. What is the GCF of 603 and 609?

Answer: GCF of 603 and 609 is 3.

2. What are the Factors of 603?

Answer: Factors of 603 are 1, 3, 9, 67, 201, 603. There are 6 integers that are factors of 603. The greatest factor of 603 is 603.

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 603 and 609?

Answer:

Greatest Common Factor of 603 and 609 = 3

Step 1: Find the prime factorization of 603

603 = 3 x 3 x 67

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 = 3

Step 4: Therefore, the greatest common factor of 603 and 609 is 3