Greatest Common Factor of 34230 and 34235

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, 34235 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34230 and 34235 is 5.

GCF(34230,34235) = 5

GCF of 34230 and 34235

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

GCF of:
and

Greatest Common Factor of 34230 and 34235

GCF of 34230 and 34235 is 5

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 34235


5 34235
41 6847
167 167
1

Prime factors of 34235 are 5,41,167. Prime factorization of 34235 in exponential form is:

34235 = 51×411×1671

∴ So by taking common prime factors GCF of 34230 and 34235 is 5

Greatest Common Factor of 34230 and 34235 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 34235

List of positive integer factors of 34235 that divides 34235 without a remainder.

1,5,41,167,205,835,6847,34235

Greatest Common Factor

We found the factors and prime factorization of 34230 and 34235. The biggest common factor number is the GCF number.
So the greatest common factor 34230 and 34235 is 5.

Also check out the Least Common Multiple of 34230 and 34235

Properties of GCF 34230 and 34235

(i) The GCF of 34230 and 34235 is associative

GCF of 34230 and 34235 = GCF of 34235 and 34230

Related Greatest Common Factor of 34230

Related Greatest Common Factor of 34235

Frequently Asked Questions on GCF of 34230 and 34235

1. What is the GCF of 34230 and 34235?

Answer: GCF of 34230 and 34235 is 5.

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 34235?

Answer: Factors of 34235 are 1, 5, 41, 167, 205, 835, 6847, 34235. There are 8 integers that are factors of 34235. The greatest factor of 34235 is 34235.

4. How to Find the GCF of 34230 and 34235?

Answer:

Greatest Common Factor of 34230 and 34235 = 5

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 34235

34235 = 5 x 41 x 167

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

GCF = 5

Step 4: Therefore, the greatest common factor of 34230 and 34235 is 5