Greatest Common Factor of 5242 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 5242, 5250 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5242 and 5250 is 2.

GCF(5242,5250) = 2

GCF of 5242 and 5250

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

GCF of:
and

Greatest Common Factor of 5242 and 5250

GCF of 5242 and 5250 is 2

Prime Factorization of 5242


2 5242
2621 2621
1

Prime factors of 5242 are 2,2621. Prime factorization of 5242 in exponential form is:

5242 = 21×26211

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 5242 and 5250 is 2

Greatest Common Factor of 5242 and 5250 by matching factors method

Factors of 5242

List of positive integer factors of 5242 that divides 5242 without a remainder.

1,2,2621,5242

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 5242 and 5250. The biggest common factor number is the GCF number.
So the greatest common factor 5242 and 5250 is 2.

Also check out the Least Common Multiple of 5242 and 5250

Properties of GCF 5242 and 5250

(i) The GCF of 5242 and 5250 is associative

GCF of 5242 and 5250 = GCF of 5250 and 5242

Related Greatest Common Factor of 5242

Related Greatest Common Factor of 5250

Frequently Asked Questions on GCF of 5242 and 5250

1. What is the GCF of 5242 and 5250?

Answer: GCF of 5242 and 5250 is 2.

2. What are the Factors of 5242?

Answer: Factors of 5242 are 1, 2, 2621, 5242. There are 4 integers that are factors of 5242. The greatest factor of 5242 is 5242.

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 5242 and 5250?

Answer:

Greatest Common Factor of 5242 and 5250 = 2

Step 1: Find the prime factorization of 5242

5242 = 2 x 2621

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 = 2

Step 4: Therefore, the greatest common factor of 5242 and 5250 is 2