Greatest Common Factor of 5274 and 5280

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 5274, 5280 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5274 and 5280 is 6.

GCF(5274,5280) = 6

GCF of 5274 and 5280

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

GCF of:
and

Greatest Common Factor of 5274 and 5280

GCF of 5274 and 5280 is 6

Prime Factorization of 5274


2 5274
3 2637
3 879
293 293
1

Prime factors of 5274 are 2,3,293. Prime factorization of 5274 in exponential form is:

5274 = 21×32×2931

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

∴ So by taking common prime factors GCF of 5274 and 5280 is 6

Greatest Common Factor of 5274 and 5280 by matching factors method

Factors of 5274

List of positive integer factors of 5274 that divides 5274 without a remainder.

1,2,3,6,9,18,293,586,879,1758,2637,5274

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

Greatest Common Factor

We found the factors and prime factorization of 5274 and 5280. The biggest common factor number is the GCF number.
So the greatest common factor 5274 and 5280 is 6.

Also check out the Least Common Multiple of 5274 and 5280

Properties of GCF 5274 and 5280

(i) The GCF of 5274 and 5280 is associative

GCF of 5274 and 5280 = GCF of 5280 and 5274

Related Greatest Common Factor of 5274

Related Greatest Common Factor of 5280

Frequently Asked Questions on GCF of 5274 and 5280

1. What is the GCF of 5274 and 5280?

Answer: GCF of 5274 and 5280 is 6.

2. What are the Factors of 5274?

Answer: Factors of 5274 are 1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274. There are 12 integers that are factors of 5274. The greatest factor of 5274 is 5274.

3. 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.

4. How to Find the GCF of 5274 and 5280?

Answer:

Greatest Common Factor of 5274 and 5280 = 6

Step 1: Find the prime factorization of 5274

5274 = 2 x 3 x 3 x 293

Step 2: Find the prime factorization of 5280

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5274 and 5280 is 6