Greatest Common Factor of 9480 and 9488

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 9480, 9488 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9480 and 9488 is 8.

GCF(9480,9488) = 8

GCF of 9480 and 9488

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

GCF of:
and

Greatest Common Factor of 9480 and 9488

GCF of 9480 and 9488 is 8

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

Prime Factorization of 9488


2 9488
2 4744
2 2372
2 1186
593 593
1

Prime factors of 9488 are 2,593. Prime factorization of 9488 in exponential form is:

9488 = 24×5931

∴ So by taking common prime factors GCF of 9480 and 9488 is 8

Greatest Common Factor of 9480 and 9488 by matching factors method

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

Factors of 9488

List of positive integer factors of 9488 that divides 9488 without a remainder.

1,2,4,8,16,593,1186,2372,4744,9488

Greatest Common Factor

We found the factors and prime factorization of 9480 and 9488. The biggest common factor number is the GCF number.
So the greatest common factor 9480 and 9488 is 8.

Also check out the Least Common Multiple of 9480 and 9488

Properties of GCF 9480 and 9488

(i) The GCF of 9480 and 9488 is associative

GCF of 9480 and 9488 = GCF of 9488 and 9480

Related Greatest Common Factor of 9480

Related Greatest Common Factor of 9488

Frequently Asked Questions on GCF of 9480 and 9488

1. What is the GCF of 9480 and 9488?

Answer: GCF of 9480 and 9488 is 8.

2. 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.

3. What are the Factors of 9488?

Answer: Factors of 9488 are 1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488. There are 10 integers that are factors of 9488. The greatest factor of 9488 is 9488.

4. How to Find the GCF of 9480 and 9488?

Answer:

Greatest Common Factor of 9480 and 9488 = 8

Step 1: Find the prime factorization of 9480

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

Step 2: Find the prime factorization of 9488

9488 = 2 x 2 x 2 x 2 x 593

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 9480 and 9488 is 8