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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 34243 and 34248 is associative
GCF of 34243 and 34248 = GCF of 34248 and 34243
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