Greatest Common Factor of 5225 and 5231

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 5225, 5231 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5225 and 5231 is 1.

GCF(5225,5231) = 1

GCF of 5225 and 5231

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

GCF of:
and

Greatest Common Factor of 5225 and 5231

GCF of 5225 and 5231 is 1

Prime Factorization of 5225


5 5225
5 1045
11 209
19 19
1

Prime factors of 5225 are 5,11,19. Prime factorization of 5225 in exponential form is:

5225 = 52×111×191

Prime Factorization of 5231


5231 5231
1

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

5231 = 52311

∴ So by taking common prime factors GCF of 5225 and 5231 is 1

Greatest Common Factor of 5225 and 5231 by matching factors method

Factors of 5225

List of positive integer factors of 5225 that divides 5225 without a remainder.

1,5,11,19,25,55,95,209,275,475,1045,5225

Factors of 5231

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

1,5231

Greatest Common Factor

We found the factors and prime factorization of 5225 and 5231. The biggest common factor number is the GCF number.
So the greatest common factor 5225 and 5231 is 1.

Also check out the Least Common Multiple of 5225 and 5231

Properties of GCF 5225 and 5231

(i) The GCF of 5225 and 5231 is associative

GCF of 5225 and 5231 = GCF of 5231 and 5225

Related Greatest Common Factor of 5225

Related Greatest Common Factor of 5231

Frequently Asked Questions on GCF of 5225 and 5231

1. What is the GCF of 5225 and 5231?

Answer: GCF of 5225 and 5231 is 1.

2. What are the Factors of 5225?

Answer: Factors of 5225 are 1, 5, 11, 19, 25, 55, 95, 209, 275, 475, 1045, 5225. There are 12 integers that are factors of 5225. The greatest factor of 5225 is 5225.

3. 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.

4. How to Find the GCF of 5225 and 5231?

Answer:

Greatest Common Factor of 5225 and 5231 = 1

Step 1: Find the prime factorization of 5225

5225 = 5 x 5 x 11 x 19

Step 2: Find the prime factorization of 5231

5231 = 5231

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 5225 and 5231 is 1