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 5235, 5238 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5235 and 5238 is 3.
GCF(5235,5238) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5235
3 | 5235 |
5 | 1745 |
349 | 349 |
1 |
Prime factors of 5235 are 3,5,349. Prime factorization of 5235 in exponential form is:
5235 = 31×51×3491
Prime Factorization of 5238
2 | 5238 |
3 | 2619 |
3 | 873 |
3 | 291 |
97 | 97 |
1 |
Prime factors of 5238 are 2,3,97. Prime factorization of 5238 in exponential form is:
5238 = 21×33×971
∴ So by taking common prime factors GCF of 5235 and 5238 is 3
Factors of 5235
List of positive integer factors of 5235 that divides 5235 without a remainder.
1,3,5,15,349,1047,1745,5235
Factors of 5238
List of positive integer factors of 5238 that divides 5238 without a remainder.
1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238
Greatest Common Factor
We found the factors and prime factorization of 5235 and 5238. The biggest common factor number is the GCF number.
So the greatest common factor 5235 and 5238 is 3.
Also check out the Least Common Multiple of 5235 and 5238
(i) The GCF of 5235 and 5238 is associative
GCF of 5235 and 5238 = GCF of 5238 and 5235
1. What is the GCF of 5235 and 5238?
Answer: GCF of 5235 and 5238 is 3.
2. What are the Factors of 5235?
Answer: Factors of 5235 are 1, 3, 5, 15, 349, 1047, 1745, 5235. There are 8 integers that are factors of 5235. The greatest factor of 5235 is 5235.
3. What are the Factors of 5238?
Answer: Factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238. There are 16 integers that are factors of 5238. The greatest factor of 5238 is 5238.
4. How to Find the GCF of 5235 and 5238?
Answer:
Greatest Common Factor of 5235 and 5238 = 3
Step 1: Find the prime factorization of 5235
5235 = 3 x 5 x 349
Step 2: Find the prime factorization of 5238
5238 = 2 x 3 x 3 x 3 x 97
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 5235 and 5238 is 3