Greatest Common Factor of 238 and 245

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, 245 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 238 and 245 is 7.

GCF(238,245) = 7

GCF of 238 and 245

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

GCF of:
and

Greatest Common Factor of 238 and 245

GCF of 238 and 245 is 7

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 245


5 245
7 49
7 7
1

Prime factors of 245 are 5,7. Prime factorization of 245 in exponential form is:

245 = 51×72

∴ So by taking common prime factors GCF of 238 and 245 is 7

Greatest Common Factor of 238 and 245 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 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors and prime factorization of 238 and 245. The biggest common factor number is the GCF number.
So the greatest common factor 238 and 245 is 7.

Also check out the Least Common Multiple of 238 and 245

Properties of GCF 238 and 245

(i) The GCF of 238 and 245 is associative

GCF of 238 and 245 = GCF of 245 and 238

Related Greatest Common Factor of 238

Related Greatest Common Factor of 245

Frequently Asked Questions on GCF of 238 and 245

1. What is the GCF of 238 and 245?

Answer: GCF of 238 and 245 is 7.

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 245?

Answer: Factors of 245 are 1, 5, 7, 35, 49, 245. There are 6 integers that are factors of 245. The greatest factor of 245 is 245.

4. How to Find the GCF of 238 and 245?

Answer:

Greatest Common Factor of 238 and 245 = 7

Step 1: Find the prime factorization of 238

238 = 2 x 7 x 17

Step 2: Find the prime factorization of 245

245 = 5 x 7 x 7

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 238 and 245 is 7