Greatest Common Factor of 5644 and 5648

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 5644, 5648 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5644 and 5648 is 4.

GCF(5644,5648) = 4

GCF of 5644 and 5648

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

GCF of:
and

Greatest Common Factor of 5644 and 5648

GCF of 5644 and 5648 is 4

Prime Factorization of 5644


2 5644
2 2822
17 1411
83 83
1

Prime factors of 5644 are 2,17,83. Prime factorization of 5644 in exponential form is:

5644 = 22×171×831

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

∴ So by taking common prime factors GCF of 5644 and 5648 is 4

Greatest Common Factor of 5644 and 5648 by matching factors method

Factors of 5644

List of positive integer factors of 5644 that divides 5644 without a remainder.

1,2,4,17,34,68,83,166,332,1411,2822,5644

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

Greatest Common Factor

We found the factors and prime factorization of 5644 and 5648. The biggest common factor number is the GCF number.
So the greatest common factor 5644 and 5648 is 4.

Also check out the Least Common Multiple of 5644 and 5648

Properties of GCF 5644 and 5648

(i) The GCF of 5644 and 5648 is associative

GCF of 5644 and 5648 = GCF of 5648 and 5644

Related Greatest Common Factor of 5644

Related Greatest Common Factor of 5648

Frequently Asked Questions on GCF of 5644 and 5648

1. What is the GCF of 5644 and 5648?

Answer: GCF of 5644 and 5648 is 4.

2. What are the Factors of 5644?

Answer: Factors of 5644 are 1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644. There are 12 integers that are factors of 5644. The greatest factor of 5644 is 5644.

3. 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.

4. How to Find the GCF of 5644 and 5648?

Answer:

Greatest Common Factor of 5644 and 5648 = 4

Step 1: Find the prime factorization of 5644

5644 = 2 x 2 x 17 x 83

Step 2: Find the prime factorization of 5648

5648 = 2 x 2 x 2 x 2 x 353

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5644 and 5648 is 4