Greatest Common Factor of 5220 and 5224

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, 5224 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5220 and 5224 is 4.

GCF(5220,5224) = 4

GCF of 5220 and 5224

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

GCF of:
and

Greatest Common Factor of 5220 and 5224

GCF of 5220 and 5224 is 4

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 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

∴ So by taking common prime factors GCF of 5220 and 5224 is 4

Greatest Common Factor of 5220 and 5224 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 5224

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

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

Greatest Common Factor

We found the factors and prime factorization of 5220 and 5224. The biggest common factor number is the GCF number.
So the greatest common factor 5220 and 5224 is 4.

Also check out the Least Common Multiple of 5220 and 5224

Properties of GCF 5220 and 5224

(i) The GCF of 5220 and 5224 is associative

GCF of 5220 and 5224 = GCF of 5224 and 5220

Related Greatest Common Factor of 5220

Related Greatest Common Factor of 5224

Frequently Asked Questions on GCF of 5220 and 5224

1. What is the GCF of 5220 and 5224?

Answer: GCF of 5220 and 5224 is 4.

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 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.

4. How to Find the GCF of 5220 and 5224?

Answer:

Greatest Common Factor of 5220 and 5224 = 4

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 5224

5224 = 2 x 2 x 2 x 653

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5220 and 5224 is 4