Greatest Common Factor of 9641 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 9641, 9648 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9641 and 9648 is 1.

GCF(9641,9648) = 1

GCF of 9641 and 9648

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

GCF of:
and

Greatest Common Factor of 9641 and 9648

GCF of 9641 and 9648 is 1

Prime Factorization of 9641


31 9641
311 311
1

Prime factors of 9641 are 31,311. Prime factorization of 9641 in exponential form is:

9641 = 311×3111

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 9641 and 9648 is 1

Greatest Common Factor of 9641 and 9648 by matching factors method

Factors of 9641

List of positive integer factors of 9641 that divides 9641 without a remainder.

1,31,311,9641

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 9641 and 9648. The biggest common factor number is the GCF number.
So the greatest common factor 9641 and 9648 is 1.

Also check out the Least Common Multiple of 9641 and 9648

Properties of GCF 9641 and 9648

(i) The GCF of 9641 and 9648 is associative

GCF of 9641 and 9648 = GCF of 9648 and 9641

Related Greatest Common Factor of 9641

Related Greatest Common Factor of 9648

Frequently Asked Questions on GCF of 9641 and 9648

1. What is the GCF of 9641 and 9648?

Answer: GCF of 9641 and 9648 is 1.

2. What are the Factors of 9641?

Answer: Factors of 9641 are 1, 31, 311, 9641. There are 4 integers that are factors of 9641. The greatest factor of 9641 is 9641.

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 9641 and 9648?

Answer:

Greatest Common Factor of 9641 and 9648 = 1

Step 1: Find the prime factorization of 9641

9641 = 31 x 311

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 = = 1

Step 4: Therefore, the greatest common factor of 9641 and 9648 is 1