Greatest Common Factor of 5648 and 5650

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, 5650 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5648 and 5650 is 2.

GCF(5648,5650) = 2

GCF of 5648 and 5650

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

GCF of:
and

Greatest Common Factor of 5648 and 5650

GCF of 5648 and 5650 is 2

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 5650


2 5650
5 2825
5 565
113 113
1

Prime factors of 5650 are 2,5,113. Prime factorization of 5650 in exponential form is:

5650 = 21×52×1131

∴ So by taking common prime factors GCF of 5648 and 5650 is 2

Greatest Common Factor of 5648 and 5650 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 5650

List of positive integer factors of 5650 that divides 5650 without a remainder.

1,2,5,10,25,50,113,226,565,1130,2825,5650

Greatest Common Factor

We found the factors and prime factorization of 5648 and 5650. The biggest common factor number is the GCF number.
So the greatest common factor 5648 and 5650 is 2.

Also check out the Least Common Multiple of 5648 and 5650

Properties of GCF 5648 and 5650

(i) The GCF of 5648 and 5650 is associative

GCF of 5648 and 5650 = GCF of 5650 and 5648

Related Greatest Common Factor of 5648

Related Greatest Common Factor of 5650

Frequently Asked Questions on GCF of 5648 and 5650

1. What is the GCF of 5648 and 5650?

Answer: GCF of 5648 and 5650 is 2.

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 5650?

Answer: Factors of 5650 are 1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650. There are 12 integers that are factors of 5650. The greatest factor of 5650 is 5650.

4. How to Find the GCF of 5648 and 5650?

Answer:

Greatest Common Factor of 5648 and 5650 = 2

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 5650

5650 = 2 x 5 x 5 x 113

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5648 and 5650 is 2