Greatest Common Factor of 5220 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 5220, 5225 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5220 and 5225 is 5.

GCF(5220,5225) = 5

GCF of 5220 and 5225

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

GCF of:
and

Greatest Common Factor of 5220 and 5225

GCF of 5220 and 5225 is 5

Prime Factorization of 5220


2 5220
2 2610
3 1305
3 435
5 145
29 29
1

Prime factors of 5220 are 2,3,5,29. Prime factorization of 5220 in exponential form is:

5220 = 22×32×51×291

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 5220 and 5225 is 5

Greatest Common Factor of 5220 and 5225 by matching factors method

Factors of 5220

List of positive integer factors of 5220 that divides 5220 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220

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 5220 and 5225. The biggest common factor number is the GCF number.
So the greatest common factor 5220 and 5225 is 5.

Also check out the Least Common Multiple of 5220 and 5225

Properties of GCF 5220 and 5225

(i) The GCF of 5220 and 5225 is associative

GCF of 5220 and 5225 = GCF of 5225 and 5220

Related Greatest Common Factor of 5220

Related Greatest Common Factor of 5225

Frequently Asked Questions on GCF of 5220 and 5225

1. What is the GCF of 5220 and 5225?

Answer: GCF of 5220 and 5225 is 5.

2. What are the Factors of 5220?

Answer: Factors of 5220 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 45, 58, 60, 87, 90, 116, 145, 174, 180, 261, 290, 348, 435, 522, 580, 870, 1044, 1305, 1740, 2610, 5220. There are 36 integers that are factors of 5220. The greatest factor of 5220 is 5220.

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 5220 and 5225?

Answer:

Greatest Common Factor of 5220 and 5225 = 5

Step 1: Find the prime factorization of 5220

5220 = 2 x 2 x 3 x 3 x 5 x 29

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 = 5

Step 4: Therefore, the greatest common factor of 5220 and 5225 is 5