Greatest Common Factor of 9468 and 9472

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, 9472 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9468 and 9472 is 4.

GCF(9468,9472) = 4

GCF of 9468 and 9472

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

GCF of:
and

Greatest Common Factor of 9468 and 9472

GCF of 9468 and 9472 is 4

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 9472


2 9472
2 4736
2 2368
2 1184
2 592
2 296
2 148
2 74
37 37
1

Prime factors of 9472 are 2,37. Prime factorization of 9472 in exponential form is:

9472 = 28×371

∴ So by taking common prime factors GCF of 9468 and 9472 is 4

Greatest Common Factor of 9468 and 9472 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 9472

List of positive integer factors of 9472 that divides 9472 without a remainder.

1,2,4,8,16,32,37,64,74,128,148,256,296,592,1184,2368,4736,9472

Greatest Common Factor

We found the factors and prime factorization of 9468 and 9472. The biggest common factor number is the GCF number.
So the greatest common factor 9468 and 9472 is 4.

Also check out the Least Common Multiple of 9468 and 9472

Properties of GCF 9468 and 9472

(i) The GCF of 9468 and 9472 is associative

GCF of 9468 and 9472 = GCF of 9472 and 9468

Related Greatest Common Factor of 9468

Related Greatest Common Factor of 9472

Frequently Asked Questions on GCF of 9468 and 9472

1. What is the GCF of 9468 and 9472?

Answer: GCF of 9468 and 9472 is 4.

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 9472?

Answer: Factors of 9472 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472. There are 18 integers that are factors of 9472. The greatest factor of 9472 is 9472.

4. How to Find the GCF of 9468 and 9472?

Answer:

Greatest Common Factor of 9468 and 9472 = 4

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 9472

9472 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 37

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 9468 and 9472 is 4