Greatest Common Factor of 5243 and 5250

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 5243, 5250 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5243 and 5250 is 7.

GCF(5243,5250) = 7

GCF of 5243 and 5250

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

GCF of:
and

Greatest Common Factor of 5243 and 5250

GCF of 5243 and 5250 is 7

Prime Factorization of 5243


7 5243
7 749
107 107
1

Prime factors of 5243 are 7,107. Prime factorization of 5243 in exponential form is:

5243 = 72×1071

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

∴ So by taking common prime factors GCF of 5243 and 5250 is 7

Greatest Common Factor of 5243 and 5250 by matching factors method

Factors of 5243

List of positive integer factors of 5243 that divides 5243 without a remainder.

1,7,49,107,749,5243

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

Greatest Common Factor

We found the factors and prime factorization of 5243 and 5250. The biggest common factor number is the GCF number.
So the greatest common factor 5243 and 5250 is 7.

Also check out the Least Common Multiple of 5243 and 5250

Properties of GCF 5243 and 5250

(i) The GCF of 5243 and 5250 is associative

GCF of 5243 and 5250 = GCF of 5250 and 5243

Related Greatest Common Factor of 5243

Related Greatest Common Factor of 5250

Frequently Asked Questions on GCF of 5243 and 5250

1. What is the GCF of 5243 and 5250?

Answer: GCF of 5243 and 5250 is 7.

2. What are the Factors of 5243?

Answer: Factors of 5243 are 1, 7, 49, 107, 749, 5243. There are 6 integers that are factors of 5243. The greatest factor of 5243 is 5243.

3. 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.

4. How to Find the GCF of 5243 and 5250?

Answer:

Greatest Common Factor of 5243 and 5250 = 7

Step 1: Find the prime factorization of 5243

5243 = 7 x 7 x 107

Step 2: Find the prime factorization of 5250

5250 = 2 x 3 x 5 x 5 x 5 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5243 and 5250 is 7