Greatest Common Factor of 34238 and 34242

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 34238, 34242 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34238 and 34242 is 2.

GCF(34238,34242) = 2

GCF of 34238 and 34242

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

GCF of:
and

Greatest Common Factor of 34238 and 34242

GCF of 34238 and 34242 is 2

Prime Factorization of 34238


2 34238
17 17119
19 1007
53 53
1

Prime factors of 34238 are 2,17,19,53. Prime factorization of 34238 in exponential form is:

34238 = 21×171×191×531

Prime Factorization of 34242


2 34242
3 17121
13 5707
439 439
1

Prime factors of 34242 are 2,3,13,439. Prime factorization of 34242 in exponential form is:

34242 = 21×31×131×4391

∴ So by taking common prime factors GCF of 34238 and 34242 is 2

Greatest Common Factor of 34238 and 34242 by matching factors method

Factors of 34238

List of positive integer factors of 34238 that divides 34238 without a remainder.

1,2,17,19,34,38,53,106,323,646,901,1007,1802,2014,17119,34238

Factors of 34242

List of positive integer factors of 34242 that divides 34242 without a remainder.

1,2,3,6,13,26,39,78,439,878,1317,2634,5707,11414,17121,34242

Greatest Common Factor

We found the factors and prime factorization of 34238 and 34242. The biggest common factor number is the GCF number.
So the greatest common factor 34238 and 34242 is 2.

Also check out the Least Common Multiple of 34238 and 34242

Properties of GCF 34238 and 34242

(i) The GCF of 34238 and 34242 is associative

GCF of 34238 and 34242 = GCF of 34242 and 34238

Related Greatest Common Factor of 34238

Related Greatest Common Factor of 34242

Frequently Asked Questions on GCF of 34238 and 34242

1. What is the GCF of 34238 and 34242?

Answer: GCF of 34238 and 34242 is 2.

2. What are the Factors of 34238?

Answer: Factors of 34238 are 1, 2, 17, 19, 34, 38, 53, 106, 323, 646, 901, 1007, 1802, 2014, 17119, 34238. There are 16 integers that are factors of 34238. The greatest factor of 34238 is 34238.

3. What are the Factors of 34242?

Answer: Factors of 34242 are 1, 2, 3, 6, 13, 26, 39, 78, 439, 878, 1317, 2634, 5707, 11414, 17121, 34242. There are 16 integers that are factors of 34242. The greatest factor of 34242 is 34242.

4. How to Find the GCF of 34238 and 34242?

Answer:

Greatest Common Factor of 34238 and 34242 = 2

Step 1: Find the prime factorization of 34238

34238 = 2 x 17 x 19 x 53

Step 2: Find the prime factorization of 34242

34242 = 2 x 3 x 13 x 439

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 34238 and 34242 is 2