Greatest Common Factor of 238 and 244

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 238, 244 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 238 and 244 is 2.

GCF(238,244) = 2

GCF of 238 and 244

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

GCF of:
and

Greatest Common Factor of 238 and 244

GCF of 238 and 244 is 2

Prime Factorization of 238


2 238
7 119
17 17
1

Prime factors of 238 are 2,7,17. Prime factorization of 238 in exponential form is:

238 = 21×71×171

Prime Factorization of 244


2 244
2 122
61 61
1

Prime factors of 244 are 2,61. Prime factorization of 244 in exponential form is:

244 = 22×611

∴ So by taking common prime factors GCF of 238 and 244 is 2

Greatest Common Factor of 238 and 244 by matching factors method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors and prime factorization of 238 and 244. The biggest common factor number is the GCF number.
So the greatest common factor 238 and 244 is 2.

Also check out the Least Common Multiple of 238 and 244

Properties of GCF 238 and 244

(i) The GCF of 238 and 244 is associative

GCF of 238 and 244 = GCF of 244 and 238

Related Greatest Common Factor of 238

Related Greatest Common Factor of 244

Frequently Asked Questions on GCF of 238 and 244

1. What is the GCF of 238 and 244?

Answer: GCF of 238 and 244 is 2.

2. What are the Factors of 238?

Answer: Factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238. There are 8 integers that are factors of 238. The greatest factor of 238 is 238.

3. What are the Factors of 244?

Answer: Factors of 244 are 1, 2, 4, 61, 122, 244. There are 6 integers that are factors of 244. The greatest factor of 244 is 244.

4. How to Find the GCF of 238 and 244?

Answer:

Greatest Common Factor of 238 and 244 = 2

Step 1: Find the prime factorization of 238

238 = 2 x 7 x 17

Step 2: Find the prime factorization of 244

244 = 2 x 2 x 61

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 238 and 244 is 2