Greatest Common Factor of 9474 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 9474, 9480 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9474 and 9480 is 6.

GCF(9474,9480) = 6

GCF of 9474 and 9480

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

GCF of:
and

Greatest Common Factor of 9474 and 9480

GCF of 9474 and 9480 is 6

Prime Factorization of 9474


2 9474
3 4737
1579 1579
1

Prime factors of 9474 are 2,3,1579. Prime factorization of 9474 in exponential form is:

9474 = 21×31×15791

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 9474 and 9480 is 6

Greatest Common Factor of 9474 and 9480 by matching factors method

Factors of 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1,2,3,6,1579,3158,4737,9474

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 9474 and 9480. The biggest common factor number is the GCF number.
So the greatest common factor 9474 and 9480 is 6.

Also check out the Least Common Multiple of 9474 and 9480

Properties of GCF 9474 and 9480

(i) The GCF of 9474 and 9480 is associative

GCF of 9474 and 9480 = GCF of 9480 and 9474

Related Greatest Common Factor of 9474

Related Greatest Common Factor of 9480

Frequently Asked Questions on GCF of 9474 and 9480

1. What is the GCF of 9474 and 9480?

Answer: GCF of 9474 and 9480 is 6.

2. What are the Factors of 9474?

Answer: Factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474. There are 8 integers that are factors of 9474. The greatest factor of 9474 is 9474.

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 9474 and 9480?

Answer:

Greatest Common Factor of 9474 and 9480 = 6

Step 1: Find the prime factorization of 9474

9474 = 2 x 3 x 1579

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 3 = 6

Step 4: Therefore, the greatest common factor of 9474 and 9480 is 6