Greatest Common Factor of 9646 and 9648

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 9646, 9648 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9646 and 9648 is 2.

GCF(9646,9648) = 2

GCF of 9646 and 9648

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

GCF of:
and

Greatest Common Factor of 9646 and 9648

GCF of 9646 and 9648 is 2

Prime Factorization of 9646


2 9646
7 4823
13 689
53 53
1

Prime factors of 9646 are 2,7,13,53. Prime factorization of 9646 in exponential form is:

9646 = 21×71×131×531

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

∴ So by taking common prime factors GCF of 9646 and 9648 is 2

Greatest Common Factor of 9646 and 9648 by matching factors method

Factors of 9646

List of positive integer factors of 9646 that divides 9646 without a remainder.

1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646

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

Greatest Common Factor

We found the factors and prime factorization of 9646 and 9648. The biggest common factor number is the GCF number.
So the greatest common factor 9646 and 9648 is 2.

Also check out the Least Common Multiple of 9646 and 9648

Properties of GCF 9646 and 9648

(i) The GCF of 9646 and 9648 is associative

GCF of 9646 and 9648 = GCF of 9648 and 9646

Related Greatest Common Factor of 9646

Related Greatest Common Factor of 9648

Frequently Asked Questions on GCF of 9646 and 9648

1. What is the GCF of 9646 and 9648?

Answer: GCF of 9646 and 9648 is 2.

2. What are the Factors of 9646?

Answer: Factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646. There are 16 integers that are factors of 9646. The greatest factor of 9646 is 9646.

3. 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.

4. How to Find the GCF of 9646 and 9648?

Answer:

Greatest Common Factor of 9646 and 9648 = 2

Step 1: Find the prime factorization of 9646

9646 = 2 x 7 x 13 x 53

Step 2: Find the prime factorization of 9648

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9646 and 9648 is 2