Greatest Common Factor of 5224 and 5225

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 5224, 5225 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5224 and 5225 is 1.

GCF(5224,5225) = 1

GCF of 5224 and 5225

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

GCF of:
and

Greatest Common Factor of 5224 and 5225

GCF of 5224 and 5225 is 1

Prime Factorization of 5224


2 5224
2 2612
2 1306
653 653
1

Prime factors of 5224 are 2,653. Prime factorization of 5224 in exponential form is:

5224 = 23×6531

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

∴ So by taking common prime factors GCF of 5224 and 5225 is 1

Greatest Common Factor of 5224 and 5225 by matching factors method

Factors of 5224

List of positive integer factors of 5224 that divides 5224 without a remainder.

1,2,4,8,653,1306,2612,5224

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

Greatest Common Factor

We found the factors and prime factorization of 5224 and 5225. The biggest common factor number is the GCF number.
So the greatest common factor 5224 and 5225 is 1.

Also check out the Least Common Multiple of 5224 and 5225

Properties of GCF 5224 and 5225

(i) The GCF of 5224 and 5225 is associative

GCF of 5224 and 5225 = GCF of 5225 and 5224

Related Greatest Common Factor of 5224

Related Greatest Common Factor of 5225

Frequently Asked Questions on GCF of 5224 and 5225

1. What is the GCF of 5224 and 5225?

Answer: GCF of 5224 and 5225 is 1.

2. What are the Factors of 5224?

Answer: Factors of 5224 are 1, 2, 4, 8, 653, 1306, 2612, 5224. There are 8 integers that are factors of 5224. The greatest factor of 5224 is 5224.

3. 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.

4. How to Find the GCF of 5224 and 5225?

Answer:

Greatest Common Factor of 5224 and 5225 = 1

Step 1: Find the prime factorization of 5224

5224 = 2 x 2 x 2 x 653

Step 2: Find the prime factorization of 5225

5225 = 5 x 5 x 11 x 19

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 5224 and 5225 is 1