Greatest Common Factor of 9642 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 9642, 9648 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9642 and 9648 is 6.

GCF(9642,9648) = 6

GCF of 9642 and 9648

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

GCF of:
and

Greatest Common Factor of 9642 and 9648

GCF of 9642 and 9648 is 6

Prime Factorization of 9642


2 9642
3 4821
1607 1607
1

Prime factors of 9642 are 2,3,1607. Prime factorization of 9642 in exponential form is:

9642 = 21×31×16071

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 9642 and 9648 is 6

Greatest Common Factor of 9642 and 9648 by matching factors method

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1,2,3,6,1607,3214,4821,9642

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 9642 and 9648. The biggest common factor number is the GCF number.
So the greatest common factor 9642 and 9648 is 6.

Also check out the Least Common Multiple of 9642 and 9648

Properties of GCF 9642 and 9648

(i) The GCF of 9642 and 9648 is associative

GCF of 9642 and 9648 = GCF of 9648 and 9642

Related Greatest Common Factor of 9642

Related Greatest Common Factor of 9648

Frequently Asked Questions on GCF of 9642 and 9648

1. What is the GCF of 9642 and 9648?

Answer: GCF of 9642 and 9648 is 6.

2. What are the Factors of 9642?

Answer: Factors of 9642 are 1, 2, 3, 6, 1607, 3214, 4821, 9642. There are 8 integers that are factors of 9642. The greatest factor of 9642 is 9642.

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 9642 and 9648?

Answer:

Greatest Common Factor of 9642 and 9648 = 6

Step 1: Find the prime factorization of 9642

9642 = 2 x 3 x 1607

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 x 3 = 6

Step 4: Therefore, the greatest common factor of 9642 and 9648 is 6