Greatest Common Factor of 5648 and 5652

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, 5652 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5648 and 5652 is 4.

GCF(5648,5652) = 4

GCF of 5648 and 5652

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

GCF of:
and

Greatest Common Factor of 5648 and 5652

GCF of 5648 and 5652 is 4

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 5652


2 5652
2 2826
3 1413
3 471
157 157
1

Prime factors of 5652 are 2,3,157. Prime factorization of 5652 in exponential form is:

5652 = 22×32×1571

∴ So by taking common prime factors GCF of 5648 and 5652 is 4

Greatest Common Factor of 5648 and 5652 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 5652

List of positive integer factors of 5652 that divides 5652 without a remainder.

1,2,3,4,6,9,12,18,36,157,314,471,628,942,1413,1884,2826,5652

Greatest Common Factor

We found the factors and prime factorization of 5648 and 5652. The biggest common factor number is the GCF number.
So the greatest common factor 5648 and 5652 is 4.

Also check out the Least Common Multiple of 5648 and 5652

Properties of GCF 5648 and 5652

(i) The GCF of 5648 and 5652 is associative

GCF of 5648 and 5652 = GCF of 5652 and 5648

Related Greatest Common Factor of 5648

Related Greatest Common Factor of 5652

Frequently Asked Questions on GCF of 5648 and 5652

1. What is the GCF of 5648 and 5652?

Answer: GCF of 5648 and 5652 is 4.

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 5652?

Answer: Factors of 5652 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826, 5652. There are 18 integers that are factors of 5652. The greatest factor of 5652 is 5652.

4. How to Find the GCF of 5648 and 5652?

Answer:

Greatest Common Factor of 5648 and 5652 = 4

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 5652

5652 = 2 x 2 x 3 x 3 x 157

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 5648 and 5652 is 4