Greatest Common Factor of 596 and 603

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 596, 603 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 596 and 603 is 1.

GCF(596,603) = 1

GCF of 596 and 603

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

GCF of:
and

Greatest Common Factor of 596 and 603

GCF of 596 and 603 is 1

Prime Factorization of 596


2 596
2 298
149 149
1

Prime factors of 596 are 2,149. Prime factorization of 596 in exponential form is:

596 = 22×1491

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

∴ So by taking common prime factors GCF of 596 and 603 is 1

Greatest Common Factor of 596 and 603 by matching factors method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 603

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

1,3,9,67,201,603

Greatest Common Factor

We found the factors and prime factorization of 596 and 603. The biggest common factor number is the GCF number.
So the greatest common factor 596 and 603 is 1.

Also check out the Least Common Multiple of 596 and 603

Properties of GCF 596 and 603

(i) The GCF of 596 and 603 is associative

GCF of 596 and 603 = GCF of 603 and 596

Related Greatest Common Factor of 596

Related Greatest Common Factor of 603

Frequently Asked Questions on GCF of 596 and 603

1. What is the GCF of 596 and 603?

Answer: GCF of 596 and 603 is 1.

2. What are the Factors of 596?

Answer: Factors of 596 are 1, 2, 4, 149, 298, 596. There are 6 integers that are factors of 596. The greatest factor of 596 is 596.

3. 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.

4. How to Find the GCF of 596 and 603?

Answer:

Greatest Common Factor of 596 and 603 = 1

Step 1: Find the prime factorization of 596

596 = 2 x 2 x 149

Step 2: Find the prime factorization of 603

603 = 3 x 3 x 67

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 596 and 603 is 1