Greatest Common Factor of 3238 and 3244

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, 3244 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3238 and 3244 is 2.

GCF(3238,3244) = 2

GCF of 3238 and 3244

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

GCF of:
and

Greatest Common Factor of 3238 and 3244

GCF of 3238 and 3244 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 3244


2 3244
2 1622
811 811
1

Prime factors of 3244 are 2,811. Prime factorization of 3244 in exponential form is:

3244 = 22×8111

∴ So by taking common prime factors GCF of 3238 and 3244 is 2

Greatest Common Factor of 3238 and 3244 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 3244

List of positive integer factors of 3244 that divides 3244 without a remainder.

1,2,4,811,1622,3244

Greatest Common Factor

We found the factors and prime factorization of 3238 and 3244. The biggest common factor number is the GCF number.
So the greatest common factor 3238 and 3244 is 2.

Also check out the Least Common Multiple of 3238 and 3244

Properties of GCF 3238 and 3244

(i) The GCF of 3238 and 3244 is associative

GCF of 3238 and 3244 = GCF of 3244 and 3238

Related Greatest Common Factor of 3238

Related Greatest Common Factor of 3244

Frequently Asked Questions on GCF of 3238 and 3244

1. What is the GCF of 3238 and 3244?

Answer: GCF of 3238 and 3244 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 3244?

Answer: Factors of 3244 are 1, 2, 4, 811, 1622, 3244. There are 6 integers that are factors of 3244. The greatest factor of 3244 is 3244.

4. How to Find the GCF of 3238 and 3244?

Answer:

Greatest Common Factor of 3238 and 3244 = 2

Step 1: Find the prime factorization of 3238

3238 = 2 x 1619

Step 2: Find the prime factorization of 3244

3244 = 2 x 2 x 811

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 3244 is 2