Greatest Common Factor of 242 and 248

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

Greatest common factor (GCF) of 242 and 248 is 2.

GCF(242,248) = 2

GCF of 242 and 248

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

GCF of:
and

Greatest Common Factor of 242 and 248

GCF of 242 and 248 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 248


2 248
2 124
2 62
31 31
1

Prime factors of 248 are 2,31. Prime factorization of 248 in exponential form is:

248 = 23×311

∴ So by taking common prime factors GCF of 242 and 248 is 2

Greatest Common Factor of 242 and 248 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 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors and prime factorization of 242 and 248. The biggest common factor number is the GCF number.
So the greatest common factor 242 and 248 is 2.

Also check out the Least Common Multiple of 242 and 248

Properties of GCF 242 and 248

(i) The GCF of 242 and 248 is associative

GCF of 242 and 248 = GCF of 248 and 242

Related Greatest Common Factor of 242

Related Greatest Common Factor of 248

Frequently Asked Questions on GCF of 242 and 248

1. What is the GCF of 242 and 248?

Answer: GCF of 242 and 248 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 248?

Answer: Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248. There are 8 integers that are factors of 248. The greatest factor of 248 is 248.

4. How to Find the GCF of 242 and 248?

Answer:

Greatest Common Factor of 242 and 248 = 2

Step 1: Find the prime factorization of 242

242 = 2 x 11 x 11

Step 2: Find the prime factorization of 248

248 = 2 x 2 x 2 x 31

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 248 is 2