Greatest Common Factor of 9480 and 9486

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, 9486 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9480 and 9486 is 6.

GCF(9480,9486) = 6

GCF of 9480 and 9486

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

GCF of:
and

Greatest Common Factor of 9480 and 9486

GCF of 9480 and 9486 is 6

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 9486


2 9486
3 4743
3 1581
17 527
31 31
1

Prime factors of 9486 are 2,3,17,31. Prime factorization of 9486 in exponential form is:

9486 = 21×32×171×311

∴ So by taking common prime factors GCF of 9480 and 9486 is 6

Greatest Common Factor of 9480 and 9486 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 9486

List of positive integer factors of 9486 that divides 9486 without a remainder.

1,2,3,6,9,17,18,31,34,51,62,93,102,153,186,279,306,527,558,1054,1581,3162,4743,9486

Greatest Common Factor

We found the factors and prime factorization of 9480 and 9486. The biggest common factor number is the GCF number.
So the greatest common factor 9480 and 9486 is 6.

Also check out the Least Common Multiple of 9480 and 9486

Properties of GCF 9480 and 9486

(i) The GCF of 9480 and 9486 is associative

GCF of 9480 and 9486 = GCF of 9486 and 9480

Related Greatest Common Factor of 9480

Related Greatest Common Factor of 9486

Frequently Asked Questions on GCF of 9480 and 9486

1. What is the GCF of 9480 and 9486?

Answer: GCF of 9480 and 9486 is 6.

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 9486?

Answer: Factors of 9486 are 1, 2, 3, 6, 9, 17, 18, 31, 34, 51, 62, 93, 102, 153, 186, 279, 306, 527, 558, 1054, 1581, 3162, 4743, 9486. There are 24 integers that are factors of 9486. The greatest factor of 9486 is 9486.

4. How to Find the GCF of 9480 and 9486?

Answer:

Greatest Common Factor of 9480 and 9486 = 6

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 9486

9486 = 2 x 3 x 3 x 17 x 31

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9480 and 9486 is 6