Greatest Common Factor of 9372 and 9376

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 9372, 9376 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9372 and 9376 is 4.

GCF(9372,9376) = 4

GCF of 9372 and 9376

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

GCF of:
and

Greatest Common Factor of 9372 and 9376

GCF of 9372 and 9376 is 4

Prime Factorization of 9372


2 9372
2 4686
3 2343
11 781
71 71
1

Prime factors of 9372 are 2,3,11,71. Prime factorization of 9372 in exponential form is:

9372 = 22×31×111×711

Prime Factorization of 9376


2 9376
2 4688
2 2344
2 1172
2 586
293 293
1

Prime factors of 9376 are 2,293. Prime factorization of 9376 in exponential form is:

9376 = 25×2931

∴ So by taking common prime factors GCF of 9372 and 9376 is 4

Greatest Common Factor of 9372 and 9376 by matching factors method

Factors of 9372

List of positive integer factors of 9372 that divides 9372 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372

Factors of 9376

List of positive integer factors of 9376 that divides 9376 without a remainder.

1,2,4,8,16,32,293,586,1172,2344,4688,9376

Greatest Common Factor

We found the factors and prime factorization of 9372 and 9376. The biggest common factor number is the GCF number.
So the greatest common factor 9372 and 9376 is 4.

Also check out the Least Common Multiple of 9372 and 9376

Properties of GCF 9372 and 9376

(i) The GCF of 9372 and 9376 is associative

GCF of 9372 and 9376 = GCF of 9376 and 9372

Related Greatest Common Factor of 9372

Related Greatest Common Factor of 9376

Frequently Asked Questions on GCF of 9372 and 9376

1. What is the GCF of 9372 and 9376?

Answer: GCF of 9372 and 9376 is 4.

2. What are the Factors of 9372?

Answer: Factors of 9372 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372. There are 24 integers that are factors of 9372. The greatest factor of 9372 is 9372.

3. What are the Factors of 9376?

Answer: Factors of 9376 are 1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376. There are 12 integers that are factors of 9376. The greatest factor of 9376 is 9376.

4. How to Find the GCF of 9372 and 9376?

Answer:

Greatest Common Factor of 9372 and 9376 = 4

Step 1: Find the prime factorization of 9372

9372 = 2 x 2 x 3 x 11 x 71

Step 2: Find the prime factorization of 9376

9376 = 2 x 2 x 2 x 2 x 2 x 293

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 9372 and 9376 is 4