Greatest Common Factor of 34243 and 34248

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, 34248 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34243 and 34248 is 1.

GCF(34243,34248) = 1

GCF of 34243 and 34248

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

GCF of:
and

Greatest Common Factor of 34243 and 34248

GCF of 34243 and 34248 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 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

∴ So by taking common prime factors GCF of 34243 and 34248 is 1

Greatest Common Factor of 34243 and 34248 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 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

Greatest Common Factor

We found the factors and prime factorization of 34243 and 34248. The biggest common factor number is the GCF number.
So the greatest common factor 34243 and 34248 is 1.

Also check out the Least Common Multiple of 34243 and 34248

Properties of GCF 34243 and 34248

(i) The GCF of 34243 and 34248 is associative

GCF of 34243 and 34248 = GCF of 34248 and 34243

Frequently Asked Questions on GCF of 34243 and 34248

1. What is the GCF of 34243 and 34248?

Answer: GCF of 34243 and 34248 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 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.

4. How to Find the GCF of 34243 and 34248?

Answer:

Greatest Common Factor of 34243 and 34248 = 1

Step 1: Find the prime factorization of 34243

34243 = 11 x 11 x 283

Step 2: Find the prime factorization of 34248

34248 = 2 x 2 x 2 x 3 x 1427

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 34248 is 1