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 4234, 4239 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4234 and 4239 is 1.
GCF(4234,4239) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4234
2 | 4234 |
29 | 2117 |
73 | 73 |
1 |
Prime factors of 4234 are 2,29,73. Prime factorization of 4234 in exponential form is:
4234 = 21×291×731
Prime Factorization of 4239
3 | 4239 |
3 | 1413 |
3 | 471 |
157 | 157 |
1 |
Prime factors of 4239 are 3,157. Prime factorization of 4239 in exponential form is:
4239 = 33×1571
∴ So by taking common prime factors GCF of 4234 and 4239 is 1
Factors of 4234
List of positive integer factors of 4234 that divides 4234 without a remainder.
1,2,29,58,73,146,2117,4234
Factors of 4239
List of positive integer factors of 4239 that divides 4239 without a remainder.
1,3,9,27,157,471,1413,4239
Greatest Common Factor
We found the factors and prime factorization of 4234 and 4239. The biggest common factor number is the GCF number.
So the greatest common factor 4234 and 4239 is 1.
Also check out the Least Common Multiple of 4234 and 4239
(i) The GCF of 4234 and 4239 is associative
GCF of 4234 and 4239 = GCF of 4239 and 4234
1. What is the GCF of 4234 and 4239?
Answer: GCF of 4234 and 4239 is 1.
2. What are the Factors of 4234?
Answer: Factors of 4234 are 1, 2, 29, 58, 73, 146, 2117, 4234. There are 8 integers that are factors of 4234. The greatest factor of 4234 is 4234.
3. What are the Factors of 4239?
Answer: Factors of 4239 are 1, 3, 9, 27, 157, 471, 1413, 4239. There are 8 integers that are factors of 4239. The greatest factor of 4239 is 4239.
4. How to Find the GCF of 4234 and 4239?
Answer:
Greatest Common Factor of 4234 and 4239 = 1
Step 1: Find the prime factorization of 4234
4234 = 2 x 29 x 73
Step 2: Find the prime factorization of 4239
4239 = 3 x 3 x 3 x 157
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 4234 and 4239 is 1