Greatest Common Factor of 10242 and 10250

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 10242, 10250 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10242 and 10250 is 2.

GCF(10242,10250) = 2

GCF of 10242 and 10250

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

GCF of:
and

Greatest Common Factor of 10242 and 10250

GCF of 10242 and 10250 is 2

Prime Factorization of 10242


2 10242
3 5121
3 1707
569 569
1

Prime factors of 10242 are 2,3,569. Prime factorization of 10242 in exponential form is:

10242 = 21×32×5691

Prime Factorization of 10250


2 10250
5 5125
5 1025
5 205
41 41
1

Prime factors of 10250 are 2,5,41. Prime factorization of 10250 in exponential form is:

10250 = 21×53×411

∴ So by taking common prime factors GCF of 10242 and 10250 is 2

Greatest Common Factor of 10242 and 10250 by matching factors method

Factors of 10242

List of positive integer factors of 10242 that divides 10242 without a remainder.

1,2,3,6,9,18,569,1138,1707,3414,5121,10242

Factors of 10250

List of positive integer factors of 10250 that divides 10250 without a remainder.

1,2,5,10,25,41,50,82,125,205,250,410,1025,2050,5125,10250

Greatest Common Factor

We found the factors and prime factorization of 10242 and 10250. The biggest common factor number is the GCF number.
So the greatest common factor 10242 and 10250 is 2.

Also check out the Least Common Multiple of 10242 and 10250

Properties of GCF 10242 and 10250

(i) The GCF of 10242 and 10250 is associative

GCF of 10242 and 10250 = GCF of 10250 and 10242

Related Greatest Common Factor of 10242

Related Greatest Common Factor of 10250

Frequently Asked Questions on GCF of 10242 and 10250

1. What is the GCF of 10242 and 10250?

Answer: GCF of 10242 and 10250 is 2.

2. What are the Factors of 10242?

Answer: Factors of 10242 are 1, 2, 3, 6, 9, 18, 569, 1138, 1707, 3414, 5121, 10242. There are 12 integers that are factors of 10242. The greatest factor of 10242 is 10242.

3. What are the Factors of 10250?

Answer: Factors of 10250 are 1, 2, 5, 10, 25, 41, 50, 82, 125, 205, 250, 410, 1025, 2050, 5125, 10250. There are 16 integers that are factors of 10250. The greatest factor of 10250 is 10250.

4. How to Find the GCF of 10242 and 10250?

Answer:

Greatest Common Factor of 10242 and 10250 = 2

Step 1: Find the prime factorization of 10242

10242 = 2 x 3 x 3 x 569

Step 2: Find the prime factorization of 10250

10250 = 2 x 5 x 5 x 5 x 41

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 10242 and 10250 is 2