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 4232, 4234 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4232 and 4234 is 2.
GCF(4232,4234) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4232
2 | 4232 |
2 | 2116 |
2 | 1058 |
23 | 529 |
23 | 23 |
1 |
Prime factors of 4232 are 2,23. Prime factorization of 4232 in exponential form is:
4232 = 23×232
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
∴ So by taking common prime factors GCF of 4232 and 4234 is 2
Factors of 4232
List of positive integer factors of 4232 that divides 4232 without a remainder.
1,2,4,8,23,46,92,184,529,1058,2116,4232
Factors of 4234
List of positive integer factors of 4234 that divides 4234 without a remainder.
1,2,29,58,73,146,2117,4234
Greatest Common Factor
We found the factors and prime factorization of 4232 and 4234. The biggest common factor number is the GCF number.
So the greatest common factor 4232 and 4234 is 2.
Also check out the Least Common Multiple of 4232 and 4234
(i) The GCF of 4232 and 4234 is associative
GCF of 4232 and 4234 = GCF of 4234 and 4232
1. What is the GCF of 4232 and 4234?
Answer: GCF of 4232 and 4234 is 2.
2. What are the Factors of 4232?
Answer: Factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232. There are 12 integers that are factors of 4232. The greatest factor of 4232 is 4232.
3. 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.
4. How to Find the GCF of 4232 and 4234?
Answer:
Greatest Common Factor of 4232 and 4234 = 2
Step 1: Find the prime factorization of 4232
4232 = 2 x 2 x 2 x 23 x 23
Step 2: Find the prime factorization of 4234
4234 = 2 x 29 x 73
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 4232 and 4234 is 2