Greatest Common Factor of 242 and 250

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 242, 250 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 242 and 250 is 2.

GCF(242,250) = 2

GCF of 242 and 250

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

GCF of:
and

Greatest Common Factor of 242 and 250

GCF of 242 and 250 is 2

Prime Factorization of 242


2 242
11 121
11 11
1

Prime factors of 242 are 2,11. Prime factorization of 242 in exponential form is:

242 = 21×112

Prime Factorization of 250


2 250
5 125
5 25
5 5
1

Prime factors of 250 are 2,5. Prime factorization of 250 in exponential form is:

250 = 21×53

∴ So by taking common prime factors GCF of 242 and 250 is 2

Greatest Common Factor of 242 and 250 by matching factors method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors and prime factorization of 242 and 250. The biggest common factor number is the GCF number.
So the greatest common factor 242 and 250 is 2.

Also check out the Least Common Multiple of 242 and 250

Properties of GCF 242 and 250

(i) The GCF of 242 and 250 is associative

GCF of 242 and 250 = GCF of 250 and 242

Related Greatest Common Factor of 242

Related Greatest Common Factor of 250

Frequently Asked Questions on GCF of 242 and 250

1. What is the GCF of 242 and 250?

Answer: GCF of 242 and 250 is 2.

2. What are the Factors of 242?

Answer: Factors of 242 are 1, 2, 11, 22, 121, 242. There are 6 integers that are factors of 242. The greatest factor of 242 is 242.

3. What are the Factors of 250?

Answer: Factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250. There are 8 integers that are factors of 250. The greatest factor of 250 is 250.

4. How to Find the GCF of 242 and 250?

Answer:

Greatest Common Factor of 242 and 250 = 2

Step 1: Find the prime factorization of 242

242 = 2 x 11 x 11

Step 2: Find the prime factorization of 250

250 = 2 x 5 x 5 x 5

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 242 and 250 is 2