Greatest Common Factor of 9472 and 9480

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, 9480 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9472 and 9480 is 8.

GCF(9472,9480) = 8

GCF of 9472 and 9480

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

GCF of:
and

Greatest Common Factor of 9472 and 9480

GCF of 9472 and 9480 is 8

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 9480


2 9480
2 4740
2 2370
3 1185
5 395
79 79
1

Prime factors of 9480 are 2,3,5,79. Prime factorization of 9480 in exponential form is:

9480 = 23×31×51×791

∴ So by taking common prime factors GCF of 9472 and 9480 is 8

Greatest Common Factor of 9472 and 9480 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 9480

List of positive integer factors of 9480 that divides 9480 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,79,120,158,237,316,395,474,632,790,948,1185,1580,1896,2370,3160,4740,9480

Greatest Common Factor

We found the factors and prime factorization of 9472 and 9480. The biggest common factor number is the GCF number.
So the greatest common factor 9472 and 9480 is 8.

Also check out the Least Common Multiple of 9472 and 9480

Properties of GCF 9472 and 9480

(i) The GCF of 9472 and 9480 is associative

GCF of 9472 and 9480 = GCF of 9480 and 9472

Related Greatest Common Factor of 9472

Related Greatest Common Factor of 9480

Frequently Asked Questions on GCF of 9472 and 9480

1. What is the GCF of 9472 and 9480?

Answer: GCF of 9472 and 9480 is 8.

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 9480?

Answer: Factors of 9480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740, 9480. There are 32 integers that are factors of 9480. The greatest factor of 9480 is 9480.

4. How to Find the GCF of 9472 and 9480?

Answer:

Greatest Common Factor of 9472 and 9480 = 8

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 9480

9480 = 2 x 2 x 2 x 3 x 5 x 79

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9472 and 9480 is 8