Greatest Common Factor of 9609 and 9612

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 9609, 9612 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9609 and 9612 is 3.

GCF(9609,9612) = 3

GCF of 9609 and 9612

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

GCF of:
and

Greatest Common Factor of 9609 and 9612

GCF of 9609 and 9612 is 3

Prime Factorization of 9609


3 9609
3203 3203
1

Prime factors of 9609 are 3,3203. Prime factorization of 9609 in exponential form is:

9609 = 31×32031

Prime Factorization of 9612


2 9612
2 4806
3 2403
3 801
3 267
89 89
1

Prime factors of 9612 are 2,3,89. Prime factorization of 9612 in exponential form is:

9612 = 22×33×891

∴ So by taking common prime factors GCF of 9609 and 9612 is 3

Greatest Common Factor of 9609 and 9612 by matching factors method

Factors of 9609

List of positive integer factors of 9609 that divides 9609 without a remainder.

1,3,3203,9609

Factors of 9612

List of positive integer factors of 9612 that divides 9612 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612

Greatest Common Factor

We found the factors and prime factorization of 9609 and 9612. The biggest common factor number is the GCF number.
So the greatest common factor 9609 and 9612 is 3.

Also check out the Least Common Multiple of 9609 and 9612

Properties of GCF 9609 and 9612

(i) The GCF of 9609 and 9612 is associative

GCF of 9609 and 9612 = GCF of 9612 and 9609

Related Greatest Common Factor of 9609

Related Greatest Common Factor of 9612

Frequently Asked Questions on GCF of 9609 and 9612

1. What is the GCF of 9609 and 9612?

Answer: GCF of 9609 and 9612 is 3.

2. What are the Factors of 9609?

Answer: Factors of 9609 are 1, 3, 3203, 9609. There are 4 integers that are factors of 9609. The greatest factor of 9609 is 9609.

3. What are the Factors of 9612?

Answer: Factors of 9612 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612. There are 24 integers that are factors of 9612. The greatest factor of 9612 is 9612.

4. How to Find the GCF of 9609 and 9612?

Answer:

Greatest Common Factor of 9609 and 9612 = 3

Step 1: Find the prime factorization of 9609

9609 = 3 x 3203

Step 2: Find the prime factorization of 9612

9612 = 2 x 2 x 3 x 3 x 3 x 89

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 9609 and 9612 is 3