Greatest Common Factor of 9648 and 9656

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 9648, 9656 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9648 and 9656 is 8.

GCF(9648,9656) = 8

GCF of 9648 and 9656

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

GCF of:
and

Greatest Common Factor of 9648 and 9656

GCF of 9648 and 9656 is 8

Prime Factorization of 9648


2 9648
2 4824
2 2412
2 1206
3 603
3 201
67 67
1

Prime factors of 9648 are 2,3,67. Prime factorization of 9648 in exponential form is:

9648 = 24×32×671

Prime Factorization of 9656


2 9656
2 4828
2 2414
17 1207
71 71
1

Prime factors of 9656 are 2,17,71. Prime factorization of 9656 in exponential form is:

9656 = 23×171×711

∴ So by taking common prime factors GCF of 9648 and 9656 is 8

Greatest Common Factor of 9648 and 9656 by matching factors method

Factors of 9648

List of positive integer factors of 9648 that divides 9648 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648

Factors of 9656

List of positive integer factors of 9656 that divides 9656 without a remainder.

1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656

Greatest Common Factor

We found the factors and prime factorization of 9648 and 9656. The biggest common factor number is the GCF number.
So the greatest common factor 9648 and 9656 is 8.

Also check out the Least Common Multiple of 9648 and 9656

Properties of GCF 9648 and 9656

(i) The GCF of 9648 and 9656 is associative

GCF of 9648 and 9656 = GCF of 9656 and 9648

Related Greatest Common Factor of 9648

Related Greatest Common Factor of 9656

Frequently Asked Questions on GCF of 9648 and 9656

1. What is the GCF of 9648 and 9656?

Answer: GCF of 9648 and 9656 is 8.

2. What are the Factors of 9648?

Answer: Factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648. There are 30 integers that are factors of 9648. The greatest factor of 9648 is 9648.

3. What are the Factors of 9656?

Answer: Factors of 9656 are 1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656. There are 16 integers that are factors of 9656. The greatest factor of 9656 is 9656.

4. How to Find the GCF of 9648 and 9656?

Answer:

Greatest Common Factor of 9648 and 9656 = 8

Step 1: Find the prime factorization of 9648

9648 = 2 x 2 x 2 x 2 x 3 x 3 x 67

Step 2: Find the prime factorization of 9656

9656 = 2 x 2 x 2 x 17 x 71

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 9648 and 9656 is 8