Greatest Common Factor of 5120 and 5127

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, 5127 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5120 and 5127 is 1.

GCF(5120,5127) = 1

GCF of 5120 and 5127

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

GCF of:
and

Greatest Common Factor of 5120 and 5127

GCF of 5120 and 5127 is 1

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 5127


3 5127
1709 1709
1

Prime factors of 5127 are 3,1709. Prime factorization of 5127 in exponential form is:

5127 = 31×17091

∴ So by taking common prime factors GCF of 5120 and 5127 is 1

Greatest Common Factor of 5120 and 5127 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 5127

List of positive integer factors of 5127 that divides 5127 without a remainder.

1,3,1709,5127

Greatest Common Factor

We found the factors and prime factorization of 5120 and 5127. The biggest common factor number is the GCF number.
So the greatest common factor 5120 and 5127 is 1.

Also check out the Least Common Multiple of 5120 and 5127

Properties of GCF 5120 and 5127

(i) The GCF of 5120 and 5127 is associative

GCF of 5120 and 5127 = GCF of 5127 and 5120

Related Greatest Common Factor of 5120

Related Greatest Common Factor of 5127

Frequently Asked Questions on GCF of 5120 and 5127

1. What is the GCF of 5120 and 5127?

Answer: GCF of 5120 and 5127 is 1.

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 5127?

Answer: Factors of 5127 are 1, 3, 1709, 5127. There are 4 integers that are factors of 5127. The greatest factor of 5127 is 5127.

4. How to Find the GCF of 5120 and 5127?

Answer:

Greatest Common Factor of 5120 and 5127 = 1

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 5127

5127 = 3 x 1709

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5120 and 5127 is 1