Greatest Common Factor of 5231 and 5235

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 5231, 5235 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5231 and 5235 is 1.

GCF(5231,5235) = 1

GCF of 5231 and 5235

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5231 and 5235

GCF of 5231 and 5235 is 1

Prime Factorization of 5231


5231 5231
1

Prime factors of 5231 are 5231. Prime factorization of 5231 in exponential form is:

5231 = 52311

Prime Factorization of 5235


3 5235
5 1745
349 349
1

Prime factors of 5235 are 3.Prime factorization of 5235 in exponential form is:

5235 = 31×51×3491

∴ So by taking common prime factors GCF of 5231 and 5235 is 1

Greatest Common Factor of 5231 and 5235 by matching factors method

Factors of 5231

List of positive integer factors of 5231 that divides 5231 without a remainder.

1,5231

Factors of 5235

List of positive integer factors of 5235 that divides 5235 without a remainder.

1,3,5,15,349,1047,1745,5235

Greatest Common Factor

We found the factors and prime factorization of 5231 and 5235. The biggest common factor number is the GCF number.
So the greatest common factor 5231 and 5235 is 1.

Also check out the Least Common Multiple of 5231 and 5235

Properties of GCF 5231 and 5235

(i) The GCF of 5231 and 5235 is associative

GCF of 5231 and 5235 = GCF of 5235 and 5231

Frequently Asked Questions on GCF of 5231 and 5235

1. What is the GCF of 5231 and 5235?

Answer: GCF of 5231 and 5235 is 1.

2. What are the Factors of 5231?

Answer: Factors of 5231 are 1, 5231. There are 2 integers that are factors of 5231. The greatest factor of 5231 is 5231.

3. 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.

4. How to Find the GCF of 5231 and 5235?

Answer:

Greatest Common Factor of 5231 and 5235 = 1

Step 1: Find the prime factorization of 5231

5231 = 5231

Step 2: Find the prime factorization of 5235

5235 = 3 x 5 x 349

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 5231 and 5235 is 1