Greatest Common Factor of 9456 and 9460

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 9456, 9460 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9456 and 9460 is 4.

GCF(9456,9460) = 4

GCF of 9456 and 9460

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

GCF of:
and

Greatest Common Factor of 9456 and 9460

GCF of 9456 and 9460 is 4

Prime Factorization of 9456


2 9456
2 4728
2 2364
2 1182
3 591
197 197
1

Prime factors of 9456 are 2,3,197. Prime factorization of 9456 in exponential form is:

9456 = 24×31×1971

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

∴ So by taking common prime factors GCF of 9456 and 9460 is 4

Greatest Common Factor of 9456 and 9460 by matching factors method

Factors of 9456

List of positive integer factors of 9456 that divides 9456 without a remainder.

1,2,3,4,6,8,12,16,24,48,197,394,591,788,1182,1576,2364,3152,4728,9456

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

Greatest Common Factor

We found the factors and prime factorization of 9456 and 9460. The biggest common factor number is the GCF number.
So the greatest common factor 9456 and 9460 is 4.

Also check out the Least Common Multiple of 9456 and 9460

Properties of GCF 9456 and 9460

(i) The GCF of 9456 and 9460 is associative

GCF of 9456 and 9460 = GCF of 9460 and 9456

Related Greatest Common Factor of 9456

Related Greatest Common Factor of 9460

Frequently Asked Questions on GCF of 9456 and 9460

1. What is the GCF of 9456 and 9460?

Answer: GCF of 9456 and 9460 is 4.

2. What are the Factors of 9456?

Answer: Factors of 9456 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 9456. There are 20 integers that are factors of 9456. The greatest factor of 9456 is 9456.

3. 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.

4. How to Find the GCF of 9456 and 9460?

Answer:

Greatest Common Factor of 9456 and 9460 = 4

Step 1: Find the prime factorization of 9456

9456 = 2 x 2 x 2 x 2 x 3 x 197

Step 2: Find the prime factorization of 9460

9460 = 2 x 2 x 5 x 11 x 43

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 9456 and 9460 is 4