Greatest Common Factor of 4238 and 4242

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 4238, 4242 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4238 and 4242 is 2.

GCF(4238,4242) = 2

GCF of 4238 and 4242

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

GCF of:
and

Greatest Common Factor of 4238 and 4242

GCF of 4238 and 4242 is 2

Prime Factorization of 4238


2 4238
13 2119
163 163
1

Prime factors of 4238 are 2,13,163. Prime factorization of 4238 in exponential form is:

4238 = 21×131×1631

Prime Factorization of 4242


2 4242
3 2121
7 707
101 101
1

Prime factors of 4242 are 2,3,7,101. Prime factorization of 4242 in exponential form is:

4242 = 21×31×71×1011

∴ So by taking common prime factors GCF of 4238 and 4242 is 2

Greatest Common Factor of 4238 and 4242 by matching factors method

Factors of 4238

List of positive integer factors of 4238 that divides 4238 without a remainder.

1,2,13,26,163,326,2119,4238

Factors of 4242

List of positive integer factors of 4242 that divides 4242 without a remainder.

1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242

Greatest Common Factor

We found the factors and prime factorization of 4238 and 4242. The biggest common factor number is the GCF number.
So the greatest common factor 4238 and 4242 is 2.

Also check out the Least Common Multiple of 4238 and 4242

Properties of GCF 4238 and 4242

(i) The GCF of 4238 and 4242 is associative

GCF of 4238 and 4242 = GCF of 4242 and 4238

Related Greatest Common Factor of 4238

Related Greatest Common Factor of 4242

Frequently Asked Questions on GCF of 4238 and 4242

1. What is the GCF of 4238 and 4242?

Answer: GCF of 4238 and 4242 is 2.

2. What are the Factors of 4238?

Answer: Factors of 4238 are 1, 2, 13, 26, 163, 326, 2119, 4238. There are 8 integers that are factors of 4238. The greatest factor of 4238 is 4238.

3. What are the Factors of 4242?

Answer: Factors of 4242 are 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242. There are 16 integers that are factors of 4242. The greatest factor of 4242 is 4242.

4. How to Find the GCF of 4238 and 4242?

Answer:

Greatest Common Factor of 4238 and 4242 = 2

Step 1: Find the prime factorization of 4238

4238 = 2 x 13 x 163

Step 2: Find the prime factorization of 4242

4242 = 2 x 3 x 7 x 101

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 4238 and 4242 is 2