Greatest Common Factor of 34224 and 34230

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 34224, 34230 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34224 and 34230 is 6.

GCF(34224,34230) = 6

GCF of 34224 and 34230

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

GCF of:
and

Greatest Common Factor of 34224 and 34230

GCF of 34224 and 34230 is 6

Prime Factorization of 34224


2 34224
2 17112
2 8556
2 4278
3 2139
23 713
31 31
1

Prime factors of 34224 are 2,3,23,31. Prime factorization of 34224 in exponential form is:

34224 = 24×31×231×311

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

∴ So by taking common prime factors GCF of 34224 and 34230 is 6

Greatest Common Factor of 34224 and 34230 by matching factors method

Factors of 34224

List of positive integer factors of 34224 that divides 34224 without a remainder.

1,2,3,4,6,8,12,16,23,24,31,46,48,62,69,92,93,124,138,184,186,248,276,368,372,496,552,713,744,1104,1426,1488,2139,2852,4278,5704,8556,11408,17112,34224

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

Greatest Common Factor

We found the factors and prime factorization of 34224 and 34230. The biggest common factor number is the GCF number.
So the greatest common factor 34224 and 34230 is 6.

Also check out the Least Common Multiple of 34224 and 34230

Properties of GCF 34224 and 34230

(i) The GCF of 34224 and 34230 is associative

GCF of 34224 and 34230 = GCF of 34230 and 34224

Related Greatest Common Factor of 34224

Related Greatest Common Factor of 34230

Frequently Asked Questions on GCF of 34224 and 34230

1. What is the GCF of 34224 and 34230?

Answer: GCF of 34224 and 34230 is 6.

2. What are the Factors of 34224?

Answer: Factors of 34224 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 31, 46, 48, 62, 69, 92, 93, 124, 138, 184, 186, 248, 276, 368, 372, 496, 552, 713, 744, 1104, 1426, 1488, 2139, 2852, 4278, 5704, 8556, 11408, 17112, 34224. There are 40 integers that are factors of 34224. The greatest factor of 34224 is 34224.

3. 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.

4. How to Find the GCF of 34224 and 34230?

Answer:

Greatest Common Factor of 34224 and 34230 = 6

Step 1: Find the prime factorization of 34224

34224 = 2 x 2 x 2 x 2 x 3 x 23 x 31

Step 2: Find the prime factorization of 34230

34230 = 2 x 3 x 5 x 7 x 163

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 34224 and 34230 is 6