Greatest Common Factor of 34248 and 34254

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 34248, 34254 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34248 and 34254 is 6.

GCF(34248,34254) = 6

GCF of 34248 and 34254

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

GCF of:
and

Greatest Common Factor of 34248 and 34254

GCF of 34248 and 34254 is 6

Prime Factorization of 34248


2 34248
2 17124
2 8562
3 4281
1427 1427
1

Prime factors of 34248 are 2,3,1427. Prime factorization of 34248 in exponential form is:

34248 = 23×31×14271

Prime Factorization of 34254


2 34254
3 17127
3 5709
11 1903
173 173
1

Prime factors of 34254 are 2,3,11,173. Prime factorization of 34254 in exponential form is:

34254 = 21×32×111×1731

∴ So by taking common prime factors GCF of 34248 and 34254 is 6

Greatest Common Factor of 34248 and 34254 by matching factors method

Factors of 34248

List of positive integer factors of 34248 that divides 34248 without a remainder.

1,2,3,4,6,8,12,24,1427,2854,4281,5708,8562,11416,17124,34248

Factors of 34254

List of positive integer factors of 34254 that divides 34254 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,173,198,346,519,1038,1557,1903,3114,3806,5709,11418,17127,34254

Greatest Common Factor

We found the factors and prime factorization of 34248 and 34254. The biggest common factor number is the GCF number.
So the greatest common factor 34248 and 34254 is 6.

Also check out the Least Common Multiple of 34248 and 34254

Properties of GCF 34248 and 34254

(i) The GCF of 34248 and 34254 is associative

GCF of 34248 and 34254 = GCF of 34254 and 34248

Related Greatest Common Factor of 34248

Related Greatest Common Factor of 34254

Frequently Asked Questions on GCF of 34248 and 34254

1. What is the GCF of 34248 and 34254?

Answer: GCF of 34248 and 34254 is 6.

2. What are the Factors of 34248?

Answer: Factors of 34248 are 1, 2, 3, 4, 6, 8, 12, 24, 1427, 2854, 4281, 5708, 8562, 11416, 17124, 34248. There are 16 integers that are factors of 34248. The greatest factor of 34248 is 34248.

3. What are the Factors of 34254?

Answer: Factors of 34254 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 173, 198, 346, 519, 1038, 1557, 1903, 3114, 3806, 5709, 11418, 17127, 34254. There are 24 integers that are factors of 34254. The greatest factor of 34254 is 34254.

4. How to Find the GCF of 34248 and 34254?

Answer:

Greatest Common Factor of 34248 and 34254 = 6

Step 1: Find the prime factorization of 34248

34248 = 2 x 2 x 2 x 3 x 1427

Step 2: Find the prime factorization of 34254

34254 = 2 x 3 x 3 x 11 x 173

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 34248 and 34254 is 6