Greatest Common Factor of 5120 and 5125

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 5120, 5125 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5120 and 5125 is 5.

GCF(5120,5125) = 5

GCF of 5120 and 5125

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

GCF of:
and

Greatest Common Factor of 5120 and 5125

GCF of 5120 and 5125 is 5

Prime Factorization of 5120


2 5120
2 2560
2 1280
2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 5120 are 2,5. Prime factorization of 5120 in exponential form is:

5120 = 210×51

Prime Factorization of 5125


5 5125
5 1025
5 205
41 41
1

Prime factors of 5125 are 5,41. Prime factorization of 5125 in exponential form is:

5125 = 53×411

∴ So by taking common prime factors GCF of 5120 and 5125 is 5

Greatest Common Factor of 5120 and 5125 by matching factors method

Factors of 5120

List of positive integer factors of 5120 that divides 5120 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2560,5120

Factors of 5125

List of positive integer factors of 5125 that divides 5125 without a remainder.

1,5,25,41,125,205,1025,5125

Greatest Common Factor

We found the factors and prime factorization of 5120 and 5125. The biggest common factor number is the GCF number.
So the greatest common factor 5120 and 5125 is 5.

Also check out the Least Common Multiple of 5120 and 5125

Properties of GCF 5120 and 5125

(i) The GCF of 5120 and 5125 is associative

GCF of 5120 and 5125 = GCF of 5125 and 5120

Related Greatest Common Factor of 5120

Related Greatest Common Factor of 5125

Frequently Asked Questions on GCF of 5120 and 5125

1. What is the GCF of 5120 and 5125?

Answer: GCF of 5120 and 5125 is 5.

2. What are the Factors of 5120?

Answer: Factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120. There are 22 integers that are factors of 5120. The greatest factor of 5120 is 5120.

3. What are the Factors of 5125?

Answer: Factors of 5125 are 1, 5, 25, 41, 125, 205, 1025, 5125. There are 8 integers that are factors of 5125. The greatest factor of 5125 is 5125.

4. How to Find the GCF of 5120 and 5125?

Answer:

Greatest Common Factor of 5120 and 5125 = 5

Step 1: Find the prime factorization of 5120

5120 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 5125

5125 = 5 x 5 x 5 x 41

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5120 and 5125 is 5