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 5250, 5255 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5250 and 5255 is 5.
GCF(5250,5255) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5250
2 | 5250 |
3 | 2625 |
5 | 875 |
5 | 175 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 5250 are 2,3,5,7. Prime factorization of 5250 in exponential form is:
5250 = 21×31×53×71
Prime Factorization of 5255
5 | 5255 |
1051 | 1051 |
1 |
Prime factors of 5255 are 5,1051. Prime factorization of 5255 in exponential form is:
5255 = 51×10511
∴ So by taking common prime factors GCF of 5250 and 5255 is 5
Factors of 5250
List of positive integer factors of 5250 that divides 5250 without a remainder.
1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250
Factors of 5255
List of positive integer factors of 5255 that divides 5255 without a remainder.
1,5,1051,5255
Greatest Common Factor
We found the factors and prime factorization of 5250 and 5255. The biggest common factor number is the GCF number.
So the greatest common factor 5250 and 5255 is 5.
Also check out the Least Common Multiple of 5250 and 5255
(i) The GCF of 5250 and 5255 is associative
GCF of 5250 and 5255 = GCF of 5255 and 5250
1. What is the GCF of 5250 and 5255?
Answer: GCF of 5250 and 5255 is 5.
2. What are the Factors of 5250?
Answer: Factors of 5250 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250. There are 32 integers that are factors of 5250. The greatest factor of 5250 is 5250.
3. What are the Factors of 5255?
Answer: Factors of 5255 are 1, 5, 1051, 5255. There are 4 integers that are factors of 5255. The greatest factor of 5255 is 5255.
4. How to Find the GCF of 5250 and 5255?
Answer:
Greatest Common Factor of 5250 and 5255 = 5
Step 1: Find the prime factorization of 5250
5250 = 2 x 3 x 5 x 5 x 5 x 7
Step 2: Find the prime factorization of 5255
5255 = 5 x 1051
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 5250 and 5255 is 5