Greatest Common Factor of 9480 and 9485

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, 9485 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9480 and 9485 is 5.

GCF(9480,9485) = 5

GCF of 9480 and 9485

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

GCF of:
and

Greatest Common Factor of 9480 and 9485

GCF of 9480 and 9485 is 5

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 9485


5 9485
7 1897
271 271
1

Prime factors of 9485 are 5,7,271. Prime factorization of 9485 in exponential form is:

9485 = 51×71×2711

∴ So by taking common prime factors GCF of 9480 and 9485 is 5

Greatest Common Factor of 9480 and 9485 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 9485

List of positive integer factors of 9485 that divides 9485 without a remainder.

1,5,7,35,271,1355,1897,9485

Greatest Common Factor

We found the factors and prime factorization of 9480 and 9485. The biggest common factor number is the GCF number.
So the greatest common factor 9480 and 9485 is 5.

Also check out the Least Common Multiple of 9480 and 9485

Properties of GCF 9480 and 9485

(i) The GCF of 9480 and 9485 is associative

GCF of 9480 and 9485 = GCF of 9485 and 9480

Related Greatest Common Factor of 9480

Related Greatest Common Factor of 9485

Frequently Asked Questions on GCF of 9480 and 9485

1. What is the GCF of 9480 and 9485?

Answer: GCF of 9480 and 9485 is 5.

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 9485?

Answer: Factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485. There are 8 integers that are factors of 9485. The greatest factor of 9485 is 9485.

4. How to Find the GCF of 9480 and 9485?

Answer:

Greatest Common Factor of 9480 and 9485 = 5

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 9485

9485 = 5 x 7 x 271

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9480 and 9485 is 5