Greatest Common Factor of 34230 and 34231

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 34230, 34231 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34230 and 34231 is 1.

GCF(34230,34231) = 1

GCF of 34230 and 34231

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

GCF of:
and

Greatest Common Factor of 34230 and 34231

GCF of 34230 and 34231 is 1

Prime Factorization of 34230


2 34230
3 17115
5 5705
7 1141
163 163
1

Prime factors of 34230 are 2,3,5,7,163. Prime factorization of 34230 in exponential form is:

34230 = 21×31×51×71×1631

Prime Factorization of 34231


34231 34231
1

Prime factors of 34231 are 34231. Prime factorization of 34231 in exponential form is:

34231 = 342311

∴ So by taking common prime factors GCF of 34230 and 34231 is 1

Greatest Common Factor of 34230 and 34231 by matching factors method

Factors of 34230

List of positive integer factors of 34230 that divides 34230 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,163,210,326,489,815,978,1141,1630,2282,2445,3423,4890,5705,6846,11410,17115,34230

Factors of 34231

List of positive integer factors of 34231 that divides 34231 without a remainder.

1,34231

Greatest Common Factor

We found the factors and prime factorization of 34230 and 34231. The biggest common factor number is the GCF number.
So the greatest common factor 34230 and 34231 is 1.

Also check out the Least Common Multiple of 34230 and 34231

Properties of GCF 34230 and 34231

(i) The GCF of 34230 and 34231 is associative

GCF of 34230 and 34231 = GCF of 34231 and 34230

Frequently Asked Questions on GCF of 34230 and 34231

1. What is the GCF of 34230 and 34231?

Answer: GCF of 34230 and 34231 is 1.

2. What are the Factors of 34230?

Answer: Factors of 34230 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 163, 210, 326, 489, 815, 978, 1141, 1630, 2282, 2445, 3423, 4890, 5705, 6846, 11410, 17115, 34230. There are 32 integers that are factors of 34230. The greatest factor of 34230 is 34230.

3. What are the Factors of 34231?

Answer: Factors of 34231 are 1, 34231. There are 2 integers that are factors of 34231. The greatest factor of 34231 is 34231.

4. How to Find the GCF of 34230 and 34231?

Answer:

Greatest Common Factor of 34230 and 34231 = 1

Step 1: Find the prime factorization of 34230

34230 = 2 x 3 x 5 x 7 x 163

Step 2: Find the prime factorization of 34231

34231 = 34231

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 34230 and 34231 is 1