Greatest Common Factor of 9456 and 9462

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, 9462 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9456 and 9462 is 6.

GCF(9456,9462) = 6

GCF of 9456 and 9462

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

GCF of:
and

Greatest Common Factor of 9456 and 9462

GCF of 9456 and 9462 is 6

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 9462


2 9462
3 4731
19 1577
83 83
1

Prime factors of 9462 are 2,3,19,83. Prime factorization of 9462 in exponential form is:

9462 = 21×31×191×831

∴ So by taking common prime factors GCF of 9456 and 9462 is 6

Greatest Common Factor of 9456 and 9462 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 9462

List of positive integer factors of 9462 that divides 9462 without a remainder.

1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462

Greatest Common Factor

We found the factors and prime factorization of 9456 and 9462. The biggest common factor number is the GCF number.
So the greatest common factor 9456 and 9462 is 6.

Also check out the Least Common Multiple of 9456 and 9462

Properties of GCF 9456 and 9462

(i) The GCF of 9456 and 9462 is associative

GCF of 9456 and 9462 = GCF of 9462 and 9456

Related Greatest Common Factor of 9456

Related Greatest Common Factor of 9462

Frequently Asked Questions on GCF of 9456 and 9462

1. What is the GCF of 9456 and 9462?

Answer: GCF of 9456 and 9462 is 6.

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 9462?

Answer: Factors of 9462 are 1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462. There are 16 integers that are factors of 9462. The greatest factor of 9462 is 9462.

4. How to Find the GCF of 9456 and 9462?

Answer:

Greatest Common Factor of 9456 and 9462 = 6

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 9462

9462 = 2 x 3 x 19 x 83

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 9456 and 9462 is 6