Greatest Common Factor of 5280 and 5284

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 5280, 5284 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5280 and 5284 is 4.

GCF(5280,5284) = 4

GCF of 5280 and 5284

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

GCF of:
and

Greatest Common Factor of 5280 and 5284

GCF of 5280 and 5284 is 4

Prime Factorization of 5280


2 5280
2 2640
2 1320
2 660
2 330
3 165
5 55
11 11
1

Prime factors of 5280 are 2,3,5,11. Prime factorization of 5280 in exponential form is:

5280 = 25×31×51×111

Prime Factorization of 5284


2 5284
2 2642
1321 1321
1

Prime factors of 5284 are 2,1321. Prime factorization of 5284 in exponential form is:

5284 = 22×13211

∴ So by taking common prime factors GCF of 5280 and 5284 is 4

Greatest Common Factor of 5280 and 5284 by matching factors method

Factors of 5280

List of positive integer factors of 5280 that divides 5280 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,32,33,40,44,48,55,60,66,80,88,96,110,120,132,160,165,176,220,240,264,330,352,440,480,528,660,880,1056,1320,1760,2640,5280

Factors of 5284

List of positive integer factors of 5284 that divides 5284 without a remainder.

1,2,4,1321,2642,5284

Greatest Common Factor

We found the factors and prime factorization of 5280 and 5284. The biggest common factor number is the GCF number.
So the greatest common factor 5280 and 5284 is 4.

Also check out the Least Common Multiple of 5280 and 5284

Properties of GCF 5280 and 5284

(i) The GCF of 5280 and 5284 is associative

GCF of 5280 and 5284 = GCF of 5284 and 5280

Related Greatest Common Factor of 5280

Related Greatest Common Factor of 5284

Frequently Asked Questions on GCF of 5280 and 5284

1. What is the GCF of 5280 and 5284?

Answer: GCF of 5280 and 5284 is 4.

2. What are the Factors of 5280?

Answer: Factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280. There are 48 integers that are factors of 5280. The greatest factor of 5280 is 5280.

3. What are the Factors of 5284?

Answer: Factors of 5284 are 1, 2, 4, 1321, 2642, 5284. There are 6 integers that are factors of 5284. The greatest factor of 5284 is 5284.

4. How to Find the GCF of 5280 and 5284?

Answer:

Greatest Common Factor of 5280 and 5284 = 4

Step 1: Find the prime factorization of 5280

5280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 5284

5284 = 2 x 2 x 1321

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 5280 and 5284 is 4