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 4238, 4245 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4238 and 4245 is 1.
GCF(4238,4245) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 4245
3 | 4245 |
5 | 1415 |
283 | 283 |
1 |
Prime factors of 4245 are 3,5,283. Prime factorization of 4245 in exponential form is:
4245 = 31×51×2831
∴ So by taking common prime factors GCF of 4238 and 4245 is 1
Factors of 4238
List of positive integer factors of 4238 that divides 4238 without a remainder.
1,2,13,26,163,326,2119,4238
Factors of 4245
List of positive integer factors of 4245 that divides 4245 without a remainder.
1,3,5,15,283,849,1415,4245
Greatest Common Factor
We found the factors and prime factorization of 4238 and 4245. The biggest common factor number is the GCF number.
So the greatest common factor 4238 and 4245 is 1.
Also check out the Least Common Multiple of 4238 and 4245
(i) The GCF of 4238 and 4245 is associative
GCF of 4238 and 4245 = GCF of 4245 and 4238
1. What is the GCF of 4238 and 4245?
Answer: GCF of 4238 and 4245 is 1.
2. 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.
3. What are the Factors of 4245?
Answer: Factors of 4245 are 1, 3, 5, 15, 283, 849, 1415, 4245. There are 8 integers that are factors of 4245. The greatest factor of 4245 is 4245.
4. How to Find the GCF of 4238 and 4245?
Answer:
Greatest Common Factor of 4238 and 4245 = 1
Step 1: Find the prime factorization of 4238
4238 = 2 x 13 x 163
Step 2: Find the prime factorization of 4245
4245 = 3 x 5 x 283
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 4238 and 4245 is 1