Greatest Common Factor of 603 and 605

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

Greatest common factor (GCF) of 603 and 605 is 1.

GCF(603,605) = 1

GCF of 603 and 605

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

GCF of:
and

Greatest Common Factor of 603 and 605

GCF of 603 and 605 is 1

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 605


5 605
11 121
11 11
1

Prime factors of 605 are 5,11. Prime factorization of 605 in exponential form is:

605 = 51×112

∴ So by taking common prime factors GCF of 603 and 605 is 1

Greatest Common Factor of 603 and 605 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 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors and prime factorization of 603 and 605. The biggest common factor number is the GCF number.
So the greatest common factor 603 and 605 is 1.

Also check out the Least Common Multiple of 603 and 605

Properties of GCF 603 and 605

(i) The GCF of 603 and 605 is associative

GCF of 603 and 605 = GCF of 605 and 603

Related Greatest Common Factor of 603

Related Greatest Common Factor of 605

Frequently Asked Questions on GCF of 603 and 605

1. What is the GCF of 603 and 605?

Answer: GCF of 603 and 605 is 1.

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 605?

Answer: Factors of 605 are 1, 5, 11, 55, 121, 605. There are 6 integers that are factors of 605. The greatest factor of 605 is 605.

4. How to Find the GCF of 603 and 605?

Answer:

Greatest Common Factor of 603 and 605 = 1

Step 1: Find the prime factorization of 603

603 = 3 x 3 x 67

Step 2: Find the prime factorization of 605

605 = 5 x 11 x 11

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 603 and 605 is 1