Greatest Common Factor of 5225 and 5230

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, 5230 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5225 and 5230 is 5.

GCF(5225,5230) = 5

GCF of 5225 and 5230

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

GCF of:
and

Greatest Common Factor of 5225 and 5230

GCF of 5225 and 5230 is 5

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 5230


2 5230
5 2615
523 523
1

Prime factors of 5230 are 2,5,523. Prime factorization of 5230 in exponential form is:

5230 = 21×51×5231

∴ So by taking common prime factors GCF of 5225 and 5230 is 5

Greatest Common Factor of 5225 and 5230 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 5230

List of positive integer factors of 5230 that divides 5230 without a remainder.

1,2,5,10,523,1046,2615,5230

Greatest Common Factor

We found the factors and prime factorization of 5225 and 5230. The biggest common factor number is the GCF number.
So the greatest common factor 5225 and 5230 is 5.

Also check out the Least Common Multiple of 5225 and 5230

Properties of GCF 5225 and 5230

(i) The GCF of 5225 and 5230 is associative

GCF of 5225 and 5230 = GCF of 5230 and 5225

Related Greatest Common Factor of 5225

Related Greatest Common Factor of 5230

Frequently Asked Questions on GCF of 5225 and 5230

1. What is the GCF of 5225 and 5230?

Answer: GCF of 5225 and 5230 is 5.

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 5230?

Answer: Factors of 5230 are 1, 2, 5, 10, 523, 1046, 2615, 5230. There are 8 integers that are factors of 5230. The greatest factor of 5230 is 5230.

4. How to Find the GCF of 5225 and 5230?

Answer:

Greatest Common Factor of 5225 and 5230 = 5

Step 1: Find the prime factorization of 5225

5225 = 5 x 5 x 11 x 19

Step 2: Find the prime factorization of 5230

5230 = 2 x 5 x 523

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 5225 and 5230 is 5