Greatest Common Factor of 9604 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 9604, 9612 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9604 and 9612 is 4.

GCF(9604,9612) = 4

GCF of 9604 and 9612

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

GCF of:
and

Greatest Common Factor of 9604 and 9612

GCF of 9604 and 9612 is 4

Prime Factorization of 9604


2 9604
2 4802
7 2401
7 343
7 49
7 7
1

Prime factors of 9604 are 2,7. Prime factorization of 9604 in exponential form is:

9604 = 22×74

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 9604 and 9612 is 4

Greatest Common Factor of 9604 and 9612 by matching factors method

Factors of 9604

List of positive integer factors of 9604 that divides 9604 without a remainder.

1,2,4,7,14,28,49,98,196,343,686,1372,2401,4802,9604

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 9604 and 9612. The biggest common factor number is the GCF number.
So the greatest common factor 9604 and 9612 is 4.

Also check out the Least Common Multiple of 9604 and 9612

Properties of GCF 9604 and 9612

(i) The GCF of 9604 and 9612 is associative

GCF of 9604 and 9612 = GCF of 9612 and 9604

Related Greatest Common Factor of 9604

Related Greatest Common Factor of 9612

Frequently Asked Questions on GCF of 9604 and 9612

1. What is the GCF of 9604 and 9612?

Answer: GCF of 9604 and 9612 is 4.

2. What are the Factors of 9604?

Answer: Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604. There are 15 integers that are factors of 9604. The greatest factor of 9604 is 9604.

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 9604 and 9612?

Answer:

Greatest Common Factor of 9604 and 9612 = 4

Step 1: Find the prime factorization of 9604

9604 = 2 x 2 x 7 x 7 x 7 x 7

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9604 and 9612 is 4