Greatest Common Factor of 3238 and 3242

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 3238, 3242 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3238 and 3242 is 2.

GCF(3238,3242) = 2

GCF of 3238 and 3242

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

GCF of:
and

Greatest Common Factor of 3238 and 3242

GCF of 3238 and 3242 is 2

Prime Factorization of 3238


2 3238
1619 1619
1

Prime factors of 3238 are 2,1619. Prime factorization of 3238 in exponential form is:

3238 = 21×16191

Prime Factorization of 3242


2 3242
1621 1621
1

Prime factors of 3242 are 2,1621. Prime factorization of 3242 in exponential form is:

3242 = 21×16211

∴ So by taking common prime factors GCF of 3238 and 3242 is 2

Greatest Common Factor of 3238 and 3242 by matching factors method

Factors of 3238

List of positive integer factors of 3238 that divides 3238 without a remainder.

1,2,1619,3238

Factors of 3242

List of positive integer factors of 3242 that divides 3242 without a remainder.

1,2,1621,3242

Greatest Common Factor

We found the factors and prime factorization of 3238 and 3242. The biggest common factor number is the GCF number.
So the greatest common factor 3238 and 3242 is 2.

Also check out the Least Common Multiple of 3238 and 3242

Properties of GCF 3238 and 3242

(i) The GCF of 3238 and 3242 is associative

GCF of 3238 and 3242 = GCF of 3242 and 3238

Related Greatest Common Factor of 3238

Related Greatest Common Factor of 3242

Frequently Asked Questions on GCF of 3238 and 3242

1. What is the GCF of 3238 and 3242?

Answer: GCF of 3238 and 3242 is 2.

2. What are the Factors of 3238?

Answer: Factors of 3238 are 1, 2, 1619, 3238. There are 4 integers that are factors of 3238. The greatest factor of 3238 is 3238.

3. What are the Factors of 3242?

Answer: Factors of 3242 are 1, 2, 1621, 3242. There are 4 integers that are factors of 3242. The greatest factor of 3242 is 3242.

4. How to Find the GCF of 3238 and 3242?

Answer:

Greatest Common Factor of 3238 and 3242 = 2

Step 1: Find the prime factorization of 3238

3238 = 2 x 1619

Step 2: Find the prime factorization of 3242

3242 = 2 x 1621

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 3238 and 3242 is 2