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 5275, 5280 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5275 and 5280 is 5.
GCF(5275,5280) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5275
5 | 5275 |
5 | 1055 |
211 | 211 |
1 |
Prime factors of 5275 are 5,211. Prime factorization of 5275 in exponential form is:
5275 = 52×2111
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 5275 and 5280 is 5
Factors of 5275
List of positive integer factors of 5275 that divides 5275 without a remainder.
1,5,25,211,1055,5275
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 5275 and 5280. The biggest common factor number is the GCF number.
So the greatest common factor 5275 and 5280 is 5.
Also check out the Least Common Multiple of 5275 and 5280
(i) The GCF of 5275 and 5280 is associative
GCF of 5275 and 5280 = GCF of 5280 and 5275
1. What is the GCF of 5275 and 5280?
Answer: GCF of 5275 and 5280 is 5.
2. What are the Factors of 5275?
Answer: Factors of 5275 are 1, 5, 25, 211, 1055, 5275. There are 6 integers that are factors of 5275. The greatest factor of 5275 is 5275.
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 5275 and 5280?
Answer:
Greatest Common Factor of 5275 and 5280 = 5
Step 1: Find the prime factorization of 5275
5275 = 5 x 5 x 211
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 = 5
Step 4: Therefore, the greatest common factor of 5275 and 5280 is 5