Greatest Common Factor of 5250 and 5256

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, 5256 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5250 and 5256 is 6.

GCF(5250,5256) = 6

GCF of 5250 and 5256

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

GCF of:
and

Greatest Common Factor of 5250 and 5256

GCF of 5250 and 5256 is 6

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 5256


2 5256
2 2628
2 1314
3 657
3 219
73 73
1

Prime factors of 5256 are 2,3,73. Prime factorization of 5256 in exponential form is:

5256 = 23×32×731

∴ So by taking common prime factors GCF of 5250 and 5256 is 6

Greatest Common Factor of 5250 and 5256 by matching factors method

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 5256

List of positive integer factors of 5256 that divides 5256 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,73,146,219,292,438,584,657,876,1314,1752,2628,5256

Greatest Common Factor

We found the factors and prime factorization of 5250 and 5256. The biggest common factor number is the GCF number.
So the greatest common factor 5250 and 5256 is 6.

Also check out the Least Common Multiple of 5250 and 5256

Properties of GCF 5250 and 5256

(i) The GCF of 5250 and 5256 is associative

GCF of 5250 and 5256 = GCF of 5256 and 5250

Related Greatest Common Factor of 5250

Related Greatest Common Factor of 5256

Frequently Asked Questions on GCF of 5250 and 5256

1. What is the GCF of 5250 and 5256?

Answer: GCF of 5250 and 5256 is 6.

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 5256?

Answer: Factors of 5256 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256. There are 24 integers that are factors of 5256. The greatest factor of 5256 is 5256.

4. How to Find the GCF of 5250 and 5256?

Answer:

Greatest Common Factor of 5250 and 5256 = 6

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 5256

5256 = 2 x 2 x 2 x 3 x 3 x 73

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 5250 and 5256 is 6