Greatest Common Factor of 5280 and 5285

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, 5285 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5280 and 5285 is 5.

GCF(5280,5285) = 5

GCF of 5280 and 5285

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

GCF of:
and

Greatest Common Factor of 5280 and 5285

GCF of 5280 and 5285 is 5

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 5285


5 5285
7 1057
151 151
1

Prime factors of 5285 are 5,7,151. Prime factorization of 5285 in exponential form is:

5285 = 51×71×1511

∴ So by taking common prime factors GCF of 5280 and 5285 is 5

Greatest Common Factor of 5280 and 5285 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 5285

List of positive integer factors of 5285 that divides 5285 without a remainder.

1,5,7,35,151,755,1057,5285

Greatest Common Factor

We found the factors and prime factorization of 5280 and 5285. The biggest common factor number is the GCF number.
So the greatest common factor 5280 and 5285 is 5.

Also check out the Least Common Multiple of 5280 and 5285

Properties of GCF 5280 and 5285

(i) The GCF of 5280 and 5285 is associative

GCF of 5280 and 5285 = GCF of 5285 and 5280

Related Greatest Common Factor of 5280

Related Greatest Common Factor of 5285

Frequently Asked Questions on GCF of 5280 and 5285

1. What is the GCF of 5280 and 5285?

Answer: GCF of 5280 and 5285 is 5.

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 5285?

Answer: Factors of 5285 are 1, 5, 7, 35, 151, 755, 1057, 5285. There are 8 integers that are factors of 5285. The greatest factor of 5285 is 5285.

4. How to Find the GCF of 5280 and 5285?

Answer:

Greatest Common Factor of 5280 and 5285 = 5

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 5285

5285 = 5 x 7 x 151

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 5280 and 5285 is 5