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 4233, 4238 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4233 and 4238 is 1.
GCF(4233,4238) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4233
3 | 4233 |
17 | 1411 |
83 | 83 |
1 |
Prime factors of 4233 are 3,17,83. Prime factorization of 4233 in exponential form is:
4233 = 31×171×831
Prime Factorization of 4238
2 | 4238 |
13 | 2119 |
163 | 163 |
1 |
Prime factors of 4238 are 2,13,163. Prime factorization of 4238 in exponential form is:
4238 = 21×131×1631
∴ So by taking common prime factors GCF of 4233 and 4238 is 1
Factors of 4233
List of positive integer factors of 4233 that divides 4233 without a remainder.
1,3,17,51,83,249,1411,4233
Factors of 4238
List of positive integer factors of 4238 that divides 4238 without a remainder.
1,2,13,26,163,326,2119,4238
Greatest Common Factor
We found the factors and prime factorization of 4233 and 4238. The biggest common factor number is the GCF number.
So the greatest common factor 4233 and 4238 is 1.
Also check out the Least Common Multiple of 4233 and 4238
(i) The GCF of 4233 and 4238 is associative
GCF of 4233 and 4238 = GCF of 4238 and 4233
1. What is the GCF of 4233 and 4238?
Answer: GCF of 4233 and 4238 is 1.
2. What are the Factors of 4233?
Answer: Factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233. There are 8 integers that are factors of 4233. The greatest factor of 4233 is 4233.
3. What are the Factors of 4238?
Answer: Factors of 4238 are 1, 2, 13, 26, 163, 326, 2119, 4238. There are 8 integers that are factors of 4238. The greatest factor of 4238 is 4238.
4. How to Find the GCF of 4233 and 4238?
Answer:
Greatest Common Factor of 4233 and 4238 = 1
Step 1: Find the prime factorization of 4233
4233 = 3 x 17 x 83
Step 2: Find the prime factorization of 4238
4238 = 2 x 13 x 163
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 4233 and 4238 is 1