Greatest Common Factor of 5280 and 5288

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, 5288 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5280 and 5288 is 8.

GCF(5280,5288) = 8

GCF of 5280 and 5288

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

GCF of:
and

Greatest Common Factor of 5280 and 5288

GCF of 5280 and 5288 is 8

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 5288


2 5288
2 2644
2 1322
661 661
1

Prime factors of 5288 are 2,661. Prime factorization of 5288 in exponential form is:

5288 = 23×6611

∴ So by taking common prime factors GCF of 5280 and 5288 is 8

Greatest Common Factor of 5280 and 5288 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 5288

List of positive integer factors of 5288 that divides 5288 without a remainder.

1,2,4,8,661,1322,2644,5288

Greatest Common Factor

We found the factors and prime factorization of 5280 and 5288. The biggest common factor number is the GCF number.
So the greatest common factor 5280 and 5288 is 8.

Also check out the Least Common Multiple of 5280 and 5288

Properties of GCF 5280 and 5288

(i) The GCF of 5280 and 5288 is associative

GCF of 5280 and 5288 = GCF of 5288 and 5280

Related Greatest Common Factor of 5280

Related Greatest Common Factor of 5288

Frequently Asked Questions on GCF of 5280 and 5288

1. What is the GCF of 5280 and 5288?

Answer: GCF of 5280 and 5288 is 8.

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 5288?

Answer: Factors of 5288 are 1, 2, 4, 8, 661, 1322, 2644, 5288. There are 8 integers that are factors of 5288. The greatest factor of 5288 is 5288.

4. How to Find the GCF of 5280 and 5288?

Answer:

Greatest Common Factor of 5280 and 5288 = 8

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 5288

5288 = 2 x 2 x 2 x 661

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5280 and 5288 is 8