Greatest Common Factor of 9460 and 9468

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 9460, 9468 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9460 and 9468 is 4.

GCF(9460,9468) = 4

GCF of 9460 and 9468

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

GCF of:
and

Greatest Common Factor of 9460 and 9468

GCF of 9460 and 9468 is 4

Prime Factorization of 9460


2 9460
2 4730
5 2365
11 473
43 43
1

Prime factors of 9460 are 2,5,11,43. Prime factorization of 9460 in exponential form is:

9460 = 22×51×111×431

Prime Factorization of 9468


2 9468
2 4734
3 2367
3 789
263 263
1

Prime factors of 9468 are 2,3,263. Prime factorization of 9468 in exponential form is:

9468 = 22×32×2631

∴ So by taking common prime factors GCF of 9460 and 9468 is 4

Greatest Common Factor of 9460 and 9468 by matching factors method

Factors of 9460

List of positive integer factors of 9460 that divides 9460 without a remainder.

1,2,4,5,10,11,20,22,43,44,55,86,110,172,215,220,430,473,860,946,1892,2365,4730,9460

Factors of 9468

List of positive integer factors of 9468 that divides 9468 without a remainder.

1,2,3,4,6,9,12,18,36,263,526,789,1052,1578,2367,3156,4734,9468

Greatest Common Factor

We found the factors and prime factorization of 9460 and 9468. The biggest common factor number is the GCF number.
So the greatest common factor 9460 and 9468 is 4.

Also check out the Least Common Multiple of 9460 and 9468

Properties of GCF 9460 and 9468

(i) The GCF of 9460 and 9468 is associative

GCF of 9460 and 9468 = GCF of 9468 and 9460

Related Greatest Common Factor of 9460

Related Greatest Common Factor of 9468

Frequently Asked Questions on GCF of 9460 and 9468

1. What is the GCF of 9460 and 9468?

Answer: GCF of 9460 and 9468 is 4.

2. What are the Factors of 9460?

Answer: Factors of 9460 are 1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730, 9460. There are 24 integers that are factors of 9460. The greatest factor of 9460 is 9460.

3. What are the Factors of 9468?

Answer: Factors of 9468 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468. There are 18 integers that are factors of 9468. The greatest factor of 9468 is 9468.

4. How to Find the GCF of 9460 and 9468?

Answer:

Greatest Common Factor of 9460 and 9468 = 4

Step 1: Find the prime factorization of 9460

9460 = 2 x 2 x 5 x 11 x 43

Step 2: Find the prime factorization of 9468

9468 = 2 x 2 x 3 x 3 x 263

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9460 and 9468 is 4