Greatest Common Factor of 9648 and 9649

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, 9649 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9648 and 9649 is 1.

GCF(9648,9649) = 1

GCF of 9648 and 9649

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

GCF of:
and

Greatest Common Factor of 9648 and 9649

GCF of 9648 and 9649 is 1

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 9649


9649 9649
1

Prime factors of 9649 are 9649. Prime factorization of 9649 in exponential form is:

9649 = 96491

∴ So by taking common prime factors GCF of 9648 and 9649 is 1

Greatest Common Factor of 9648 and 9649 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 9649

List of positive integer factors of 9649 that divides 9649 without a remainder.

1,9649

Greatest Common Factor

We found the factors and prime factorization of 9648 and 9649. The biggest common factor number is the GCF number.
So the greatest common factor 9648 and 9649 is 1.

Also check out the Least Common Multiple of 9648 and 9649

Properties of GCF 9648 and 9649

(i) The GCF of 9648 and 9649 is associative

GCF of 9648 and 9649 = GCF of 9649 and 9648

Related Greatest Common Factor of 9648

Related Greatest Common Factor of 9649

Frequently Asked Questions on GCF of 9648 and 9649

1. What is the GCF of 9648 and 9649?

Answer: GCF of 9648 and 9649 is 1.

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 9649?

Answer: Factors of 9649 are 1, 9649. There are 2 integers that are factors of 9649. The greatest factor of 9649 is 9649.

4. How to Find the GCF of 9648 and 9649?

Answer:

Greatest Common Factor of 9648 and 9649 = 1

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 9649

9649 = 9649

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 9648 and 9649 is 1