Greatest Common Factor of 34243 and 34250

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 34243, 34250 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34243 and 34250 is 1.

GCF(34243,34250) = 1

GCF of 34243 and 34250

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

GCF of:
and

Greatest Common Factor of 34243 and 34250

GCF of 34243 and 34250 is 1

Prime Factorization of 34243


11 34243
11 3113
283 283
1

Prime factors of 34243 are 11,283. Prime factorization of 34243 in exponential form is:

34243 = 112×2831

Prime Factorization of 34250


2 34250
5 17125
5 3425
5 685
137 137
1

Prime factors of 34250 are 2,5,137. Prime factorization of 34250 in exponential form is:

34250 = 21×53×1371

∴ So by taking common prime factors GCF of 34243 and 34250 is 1

Greatest Common Factor of 34243 and 34250 by matching factors method

Factors of 34243

List of positive integer factors of 34243 that divides 34243 without a remainder.

1,11,121,283,3113,34243

Factors of 34250

List of positive integer factors of 34250 that divides 34250 without a remainder.

1,2,5,10,25,50,125,137,250,274,685,1370,3425,6850,17125,34250

Greatest Common Factor

We found the factors and prime factorization of 34243 and 34250. The biggest common factor number is the GCF number.
So the greatest common factor 34243 and 34250 is 1.

Also check out the Least Common Multiple of 34243 and 34250

Properties of GCF 34243 and 34250

(i) The GCF of 34243 and 34250 is associative

GCF of 34243 and 34250 = GCF of 34250 and 34243

Frequently Asked Questions on GCF of 34243 and 34250

1. What is the GCF of 34243 and 34250?

Answer: GCF of 34243 and 34250 is 1.

2. What are the Factors of 34243?

Answer: Factors of 34243 are 1, 11, 121, 283, 3113, 34243. There are 6 integers that are factors of 34243. The greatest factor of 34243 is 34243.

3. What are the Factors of 34250?

Answer: Factors of 34250 are 1, 2, 5, 10, 25, 50, 125, 137, 250, 274, 685, 1370, 3425, 6850, 17125, 34250. There are 16 integers that are factors of 34250. The greatest factor of 34250 is 34250.

4. How to Find the GCF of 34243 and 34250?

Answer:

Greatest Common Factor of 34243 and 34250 = 1

Step 1: Find the prime factorization of 34243

34243 = 11 x 11 x 283

Step 2: Find the prime factorization of 34250

34250 = 2 x 5 x 5 x 5 x 137

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 34243 and 34250 is 1