Greatest Common Factor of 9603 and 9605

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 9603, 9605 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9603 and 9605 is 1.

GCF(9603,9605) = 1

GCF of 9603 and 9605

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

GCF of:
and

Greatest Common Factor of 9603 and 9605

GCF of 9603 and 9605 is 1

Prime Factorization of 9603


3 9603
3 3201
11 1067
97 97
1

Prime factors of 9603 are 3,11,97. Prime factorization of 9603 in exponential form is:

9603 = 32×111×971

Prime Factorization of 9605


5 9605
17 1921
113 113
1

Prime factors of 9605 are 5,17,113. Prime factorization of 9605 in exponential form is:

9605 = 51×171×1131

∴ So by taking common prime factors GCF of 9603 and 9605 is 1

Greatest Common Factor of 9603 and 9605 by matching factors method

Factors of 9603

List of positive integer factors of 9603 that divides 9603 without a remainder.

1,3,9,11,33,97,99,291,873,1067,3201,9603

Factors of 9605

List of positive integer factors of 9605 that divides 9605 without a remainder.

1,5,17,85,113,565,1921,9605

Greatest Common Factor

We found the factors and prime factorization of 9603 and 9605. The biggest common factor number is the GCF number.
So the greatest common factor 9603 and 9605 is 1.

Also check out the Least Common Multiple of 9603 and 9605

Properties of GCF 9603 and 9605

(i) The GCF of 9603 and 9605 is associative

GCF of 9603 and 9605 = GCF of 9605 and 9603

Related Greatest Common Factor of 9603

Related Greatest Common Factor of 9605

Frequently Asked Questions on GCF of 9603 and 9605

1. What is the GCF of 9603 and 9605?

Answer: GCF of 9603 and 9605 is 1.

2. What are the Factors of 9603?

Answer: Factors of 9603 are 1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603. There are 12 integers that are factors of 9603. The greatest factor of 9603 is 9603.

3. What are the Factors of 9605?

Answer: Factors of 9605 are 1, 5, 17, 85, 113, 565, 1921, 9605. There are 8 integers that are factors of 9605. The greatest factor of 9605 is 9605.

4. How to Find the GCF of 9603 and 9605?

Answer:

Greatest Common Factor of 9603 and 9605 = 1

Step 1: Find the prime factorization of 9603

9603 = 3 x 3 x 11 x 97

Step 2: Find the prime factorization of 9605

9605 = 5 x 17 x 113

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 9603 and 9605 is 1