Greatest Common Factor of 5648 and 5655

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 5648, 5655 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5648 and 5655 is 1.

GCF(5648,5655) = 1

GCF of 5648 and 5655

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

GCF of:
and

Greatest Common Factor of 5648 and 5655

GCF of 5648 and 5655 is 1

Prime Factorization of 5648


2 5648
2 2824
2 1412
2 706
353 353
1

Prime factors of 5648 are 2,353. Prime factorization of 5648 in exponential form is:

5648 = 24×3531

Prime Factorization of 5655


3 5655
5 1885
13 377
29 29
1

Prime factors of 5655 are 3,5,13,29. Prime factorization of 5655 in exponential form is:

5655 = 31×51×131×291

∴ So by taking common prime factors GCF of 5648 and 5655 is 1

Greatest Common Factor of 5648 and 5655 by matching factors method

Factors of 5648

List of positive integer factors of 5648 that divides 5648 without a remainder.

1,2,4,8,16,353,706,1412,2824,5648

Factors of 5655

List of positive integer factors of 5655 that divides 5655 without a remainder.

1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655

Greatest Common Factor

We found the factors and prime factorization of 5648 and 5655. The biggest common factor number is the GCF number.
So the greatest common factor 5648 and 5655 is 1.

Also check out the Least Common Multiple of 5648 and 5655

Properties of GCF 5648 and 5655

(i) The GCF of 5648 and 5655 is associative

GCF of 5648 and 5655 = GCF of 5655 and 5648

Related Greatest Common Factor of 5648

Related Greatest Common Factor of 5655

Frequently Asked Questions on GCF of 5648 and 5655

1. What is the GCF of 5648 and 5655?

Answer: GCF of 5648 and 5655 is 1.

2. What are the Factors of 5648?

Answer: Factors of 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648. There are 10 integers that are factors of 5648. The greatest factor of 5648 is 5648.

3. What are the Factors of 5655?

Answer: Factors of 5655 are 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655. There are 16 integers that are factors of 5655. The greatest factor of 5655 is 5655.

4. How to Find the GCF of 5648 and 5655?

Answer:

Greatest Common Factor of 5648 and 5655 = 1

Step 1: Find the prime factorization of 5648

5648 = 2 x 2 x 2 x 2 x 353

Step 2: Find the prime factorization of 5655

5655 = 3 x 5 x 13 x 29

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 5648 and 5655 is 1