Greatest Common Factor of 9472 and 9476

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 9472, 9476 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9472 and 9476 is 4.

GCF(9472,9476) = 4

GCF of 9472 and 9476

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

GCF of:
and

Greatest Common Factor of 9472 and 9476

GCF of 9472 and 9476 is 4

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

Prime Factorization of 9476


2 9476
2 4738
23 2369
103 103
1

Prime factors of 9476 are 2,23,103. Prime factorization of 9476 in exponential form is:

9476 = 22×231×1031

∴ So by taking common prime factors GCF of 9472 and 9476 is 4

Greatest Common Factor of 9472 and 9476 by matching factors method

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

Factors of 9476

List of positive integer factors of 9476 that divides 9476 without a remainder.

1,2,4,23,46,92,103,206,412,2369,4738,9476

Greatest Common Factor

We found the factors and prime factorization of 9472 and 9476. The biggest common factor number is the GCF number.
So the greatest common factor 9472 and 9476 is 4.

Also check out the Least Common Multiple of 9472 and 9476

Properties of GCF 9472 and 9476

(i) The GCF of 9472 and 9476 is associative

GCF of 9472 and 9476 = GCF of 9476 and 9472

Related Greatest Common Factor of 9472

Related Greatest Common Factor of 9476

Frequently Asked Questions on GCF of 9472 and 9476

1. What is the GCF of 9472 and 9476?

Answer: GCF of 9472 and 9476 is 4.

2. 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.

3. What are the Factors of 9476?

Answer: Factors of 9476 are 1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738, 9476. There are 12 integers that are factors of 9476. The greatest factor of 9476 is 9476.

4. How to Find the GCF of 9472 and 9476?

Answer:

Greatest Common Factor of 9472 and 9476 = 4

Step 1: 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 2: Find the prime factorization of 9476

9476 = 2 x 2 x 23 x 103

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 9472 and 9476 is 4