Greatest Common Factor of 5649 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 5649, 5655 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5649 and 5655 is 3.

GCF(5649,5655) = 3

GCF of 5649 and 5655

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

GCF of:
and

Greatest Common Factor of 5649 and 5655

GCF of 5649 and 5655 is 3

Prime Factorization of 5649


3 5649
7 1883
269 269
1

Prime factors of 5649 are 3,7,269. Prime factorization of 5649 in exponential form is:

5649 = 31×71×2691

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 5649 and 5655 is 3

Greatest Common Factor of 5649 and 5655 by matching factors method

Factors of 5649

List of positive integer factors of 5649 that divides 5649 without a remainder.

1,3,7,21,269,807,1883,5649

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 5649 and 5655. The biggest common factor number is the GCF number.
So the greatest common factor 5649 and 5655 is 3.

Also check out the Least Common Multiple of 5649 and 5655

Properties of GCF 5649 and 5655

(i) The GCF of 5649 and 5655 is associative

GCF of 5649 and 5655 = GCF of 5655 and 5649

Related Greatest Common Factor of 5649

Related Greatest Common Factor of 5655

Frequently Asked Questions on GCF of 5649 and 5655

1. What is the GCF of 5649 and 5655?

Answer: GCF of 5649 and 5655 is 3.

2. What are the Factors of 5649?

Answer: Factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649. There are 8 integers that are factors of 5649. The greatest factor of 5649 is 5649.

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 5649 and 5655?

Answer:

Greatest Common Factor of 5649 and 5655 = 3

Step 1: Find the prime factorization of 5649

5649 = 3 x 7 x 269

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 = 3

Step 4: Therefore, the greatest common factor of 5649 and 5655 is 3