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, 5237 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5235 and 5237 is 1.
GCF(5235,5237) = 1
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 5237
5237 | 5237 |
1 |
Prime factors of 5237 are 5237. Prime factorization of 5237 in exponential form is:
5237 = 52371
∴ So by taking common prime factors GCF of 5235 and 5237 is 1
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 5237
List of positive integer factors of 5237 that divides 5237 without a remainder.
1,5237
Greatest Common Factor
We found the factors and prime factorization of 5235 and 5237. The biggest common factor number is the GCF number.
So the greatest common factor 5235 and 5237 is 1.
Also check out the Least Common Multiple of 5235 and 5237
(i) The GCF of 5235 and 5237 is associative
GCF of 5235 and 5237 = GCF of 5237 and 5235
1. What is the GCF of 5235 and 5237?
Answer: GCF of 5235 and 5237 is 1.
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 5237?
Answer: Factors of 5237 are 1, 5237. There are 2 integers that are factors of 5237. The greatest factor of 5237 is 5237.
4. How to Find the GCF of 5235 and 5237?
Answer:
Greatest Common Factor of 5235 and 5237 = 1
Step 1: Find the prime factorization of 5235
5235 = 3 x 5 x 349
Step 2: Find the prime factorization of 5237
5237 = 5237
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 5235 and 5237 is 1