Greatest Common Factor of 5120 and 5124

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, 5124 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5120 and 5124 is 4.

GCF(5120,5124) = 4

GCF of 5120 and 5124

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

GCF of:
and

Greatest Common Factor of 5120 and 5124

GCF of 5120 and 5124 is 4

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 5124


2 5124
2 2562
3 1281
7 427
61 61
1

Prime factors of 5124 are 2,3,7,61. Prime factorization of 5124 in exponential form is:

5124 = 22×31×71×611

∴ So by taking common prime factors GCF of 5120 and 5124 is 4

Greatest Common Factor of 5120 and 5124 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 5124

List of positive integer factors of 5124 that divides 5124 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124

Greatest Common Factor

We found the factors and prime factorization of 5120 and 5124. The biggest common factor number is the GCF number.
So the greatest common factor 5120 and 5124 is 4.

Also check out the Least Common Multiple of 5120 and 5124

Properties of GCF 5120 and 5124

(i) The GCF of 5120 and 5124 is associative

GCF of 5120 and 5124 = GCF of 5124 and 5120

Related Greatest Common Factor of 5120

Related Greatest Common Factor of 5124

Frequently Asked Questions on GCF of 5120 and 5124

1. What is the GCF of 5120 and 5124?

Answer: GCF of 5120 and 5124 is 4.

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 5124?

Answer: Factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124. There are 24 integers that are factors of 5124. The greatest factor of 5124 is 5124.

4. How to Find the GCF of 5120 and 5124?

Answer:

Greatest Common Factor of 5120 and 5124 = 4

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 5124

5124 = 2 x 2 x 3 x 7 x 61

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 5120 and 5124 is 4