Greatest Common Factor of 9468 and 9474

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 9468, 9474 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9468 and 9474 is 6.

GCF(9468,9474) = 6

GCF of 9468 and 9474

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

GCF of:
and

Greatest Common Factor of 9468 and 9474

GCF of 9468 and 9474 is 6

Prime Factorization of 9468


2 9468
2 4734
3 2367
3 789
263 263
1

Prime factors of 9468 are 2,3,263. Prime factorization of 9468 in exponential form is:

9468 = 22×32×2631

Prime Factorization of 9474


2 9474
3 4737
1579 1579
1

Prime factors of 9474 are 2,3,1579. Prime factorization of 9474 in exponential form is:

9474 = 21×31×15791

∴ So by taking common prime factors GCF of 9468 and 9474 is 6

Greatest Common Factor of 9468 and 9474 by matching factors method

Factors of 9468

List of positive integer factors of 9468 that divides 9468 without a remainder.

1,2,3,4,6,9,12,18,36,263,526,789,1052,1578,2367,3156,4734,9468

Factors of 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1,2,3,6,1579,3158,4737,9474

Greatest Common Factor

We found the factors and prime factorization of 9468 and 9474. The biggest common factor number is the GCF number.
So the greatest common factor 9468 and 9474 is 6.

Also check out the Least Common Multiple of 9468 and 9474

Properties of GCF 9468 and 9474

(i) The GCF of 9468 and 9474 is associative

GCF of 9468 and 9474 = GCF of 9474 and 9468

Related Greatest Common Factor of 9468

Related Greatest Common Factor of 9474

Frequently Asked Questions on GCF of 9468 and 9474

1. What is the GCF of 9468 and 9474?

Answer: GCF of 9468 and 9474 is 6.

2. What are the Factors of 9468?

Answer: Factors of 9468 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468. There are 18 integers that are factors of 9468. The greatest factor of 9468 is 9468.

3. What are the Factors of 9474?

Answer: Factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474. There are 8 integers that are factors of 9474. The greatest factor of 9474 is 9474.

4. How to Find the GCF of 9468 and 9474?

Answer:

Greatest Common Factor of 9468 and 9474 = 6

Step 1: Find the prime factorization of 9468

9468 = 2 x 2 x 3 x 3 x 263

Step 2: Find the prime factorization of 9474

9474 = 2 x 3 x 1579

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9468 and 9474 is 6