Greatest Common Factor of 9488 and 9496

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 9488, 9496 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9488 and 9496 is 8.

GCF(9488,9496) = 8

GCF of 9488 and 9496

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

GCF of:
and

Greatest Common Factor of 9488 and 9496

GCF of 9488 and 9496 is 8

Prime Factorization of 9488


2 9488
2 4744
2 2372
2 1186
593 593
1

Prime factors of 9488 are 2,593. Prime factorization of 9488 in exponential form is:

9488 = 24×5931

Prime Factorization of 9496


2 9496
2 4748
2 2374
1187 1187
1

Prime factors of 9496 are 2,1187. Prime factorization of 9496 in exponential form is:

9496 = 23×11871

∴ So by taking common prime factors GCF of 9488 and 9496 is 8

Greatest Common Factor of 9488 and 9496 by matching factors method

Factors of 9488

List of positive integer factors of 9488 that divides 9488 without a remainder.

1,2,4,8,16,593,1186,2372,4744,9488

Factors of 9496

List of positive integer factors of 9496 that divides 9496 without a remainder.

1,2,4,8,1187,2374,4748,9496

Greatest Common Factor

We found the factors and prime factorization of 9488 and 9496. The biggest common factor number is the GCF number.
So the greatest common factor 9488 and 9496 is 8.

Also check out the Least Common Multiple of 9488 and 9496

Properties of GCF 9488 and 9496

(i) The GCF of 9488 and 9496 is associative

GCF of 9488 and 9496 = GCF of 9496 and 9488

Related Greatest Common Factor of 9488

Related Greatest Common Factor of 9496

Frequently Asked Questions on GCF of 9488 and 9496

1. What is the GCF of 9488 and 9496?

Answer: GCF of 9488 and 9496 is 8.

2. What are the Factors of 9488?

Answer: Factors of 9488 are 1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488. There are 10 integers that are factors of 9488. The greatest factor of 9488 is 9488.

3. What are the Factors of 9496?

Answer: Factors of 9496 are 1, 2, 4, 8, 1187, 2374, 4748, 9496. There are 8 integers that are factors of 9496. The greatest factor of 9496 is 9496.

4. How to Find the GCF of 9488 and 9496?

Answer:

Greatest Common Factor of 9488 and 9496 = 8

Step 1: Find the prime factorization of 9488

9488 = 2 x 2 x 2 x 2 x 593

Step 2: Find the prime factorization of 9496

9496 = 2 x 2 x 2 x 1187

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 9488 and 9496 is 8