Greatest Common Factor of 3234 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 3234, 3242 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3234 and 3242 is 2.

GCF(3234,3242) = 2

GCF of 3234 and 3242

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

GCF of:
and

Greatest Common Factor of 3234 and 3242

GCF of 3234 and 3242 is 2

Prime Factorization of 3234


2 3234
3 1617
7 539
7 77
11 11
1

Prime factors of 3234 are 2,3,7,11. Prime factorization of 3234 in exponential form is:

3234 = 21×31×72×111

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 3234 and 3242 is 2

Greatest Common Factor of 3234 and 3242 by matching factors method

Factors of 3234

List of positive integer factors of 3234 that divides 3234 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234

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 3234 and 3242. The biggest common factor number is the GCF number.
So the greatest common factor 3234 and 3242 is 2.

Also check out the Least Common Multiple of 3234 and 3242

Properties of GCF 3234 and 3242

(i) The GCF of 3234 and 3242 is associative

GCF of 3234 and 3242 = GCF of 3242 and 3234

Related Greatest Common Factor of 3234

Related Greatest Common Factor of 3242

Frequently Asked Questions on GCF of 3234 and 3242

1. What is the GCF of 3234 and 3242?

Answer: GCF of 3234 and 3242 is 2.

2. What are the Factors of 3234?

Answer: Factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234. There are 24 integers that are factors of 3234. The greatest factor of 3234 is 3234.

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 3234 and 3242?

Answer:

Greatest Common Factor of 3234 and 3242 = 2

Step 1: Find the prime factorization of 3234

3234 = 2 x 3 x 7 x 7 x 11

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 3234 and 3242 is 2