Greatest Common Factor of 238 and 246

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

Greatest common factor (GCF) of 238 and 246 is 2.

GCF(238,246) = 2

GCF of 238 and 246

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

GCF of:
and

Greatest Common Factor of 238 and 246

GCF of 238 and 246 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 246


2 246
3 123
41 41
1

Prime factors of 246 are 2,3,41. Prime factorization of 246 in exponential form is:

246 = 21×31×411

∴ So by taking common prime factors GCF of 238 and 246 is 2

Greatest Common Factor of 238 and 246 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 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors and prime factorization of 238 and 246. The biggest common factor number is the GCF number.
So the greatest common factor 238 and 246 is 2.

Also check out the Least Common Multiple of 238 and 246

Properties of GCF 238 and 246

(i) The GCF of 238 and 246 is associative

GCF of 238 and 246 = GCF of 246 and 238

Related Greatest Common Factor of 238

Related Greatest Common Factor of 246

Frequently Asked Questions on GCF of 238 and 246

1. What is the GCF of 238 and 246?

Answer: GCF of 238 and 246 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 246?

Answer: Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246. There are 8 integers that are factors of 246. The greatest factor of 246 is 246.

4. How to Find the GCF of 238 and 246?

Answer:

Greatest Common Factor of 238 and 246 = 2

Step 1: Find the prime factorization of 238

238 = 2 x 7 x 17

Step 2: Find the prime factorization of 246

246 = 2 x 3 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 238 and 246 is 2