Greatest Common Factor of 9456 and 9464

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, 9464 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9456 and 9464 is 8.

GCF(9456,9464) = 8

GCF of 9456 and 9464

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

GCF of:
and

Greatest Common Factor of 9456 and 9464

GCF of 9456 and 9464 is 8

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 9464


2 9464
2 4732
2 2366
7 1183
13 169
13 13
1

Prime factors of 9464 are 2,7,13. Prime factorization of 9464 in exponential form is:

9464 = 23×71×132

∴ So by taking common prime factors GCF of 9456 and 9464 is 8

Greatest Common Factor of 9456 and 9464 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 9464

List of positive integer factors of 9464 that divides 9464 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464

Greatest Common Factor

We found the factors and prime factorization of 9456 and 9464. The biggest common factor number is the GCF number.
So the greatest common factor 9456 and 9464 is 8.

Also check out the Least Common Multiple of 9456 and 9464

Properties of GCF 9456 and 9464

(i) The GCF of 9456 and 9464 is associative

GCF of 9456 and 9464 = GCF of 9464 and 9456

Related Greatest Common Factor of 9456

Related Greatest Common Factor of 9464

Frequently Asked Questions on GCF of 9456 and 9464

1. What is the GCF of 9456 and 9464?

Answer: GCF of 9456 and 9464 is 8.

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 9464?

Answer: Factors of 9464 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464. There are 24 integers that are factors of 9464. The greatest factor of 9464 is 9464.

4. How to Find the GCF of 9456 and 9464?

Answer:

Greatest Common Factor of 9456 and 9464 = 8

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 9464

9464 = 2 x 2 x 2 x 7 x 13 x 13

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9456 and 9464 is 8