Greatest Common Factor of 9648 and 9655

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, 9655 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9648 and 9655 is 1.

GCF(9648,9655) = 1

GCF of 9648 and 9655

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

GCF of:
and

Greatest Common Factor of 9648 and 9655

GCF of 9648 and 9655 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 9655


5 9655
1931 1931
1

Prime factors of 9655 are 5,1931. Prime factorization of 9655 in exponential form is:

9655 = 51×19311

∴ So by taking common prime factors GCF of 9648 and 9655 is 1

Greatest Common Factor of 9648 and 9655 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 9655

List of positive integer factors of 9655 that divides 9655 without a remainder.

1,5,1931,9655

Greatest Common Factor

We found the factors and prime factorization of 9648 and 9655. The biggest common factor number is the GCF number.
So the greatest common factor 9648 and 9655 is 1.

Also check out the Least Common Multiple of 9648 and 9655

Properties of GCF 9648 and 9655

(i) The GCF of 9648 and 9655 is associative

GCF of 9648 and 9655 = GCF of 9655 and 9648

Related Greatest Common Factor of 9648

Related Greatest Common Factor of 9655

Frequently Asked Questions on GCF of 9648 and 9655

1. What is the GCF of 9648 and 9655?

Answer: GCF of 9648 and 9655 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 9655?

Answer: Factors of 9655 are 1, 5, 1931, 9655. There are 4 integers that are factors of 9655. The greatest factor of 9655 is 9655.

4. How to Find the GCF of 9648 and 9655?

Answer:

Greatest Common Factor of 9648 and 9655 = 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 9655

9655 = 5 x 1931

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 9655 is 1