Greatest Common Factor of 5220 and 5226

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, 5226 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5220 and 5226 is 6.

GCF(5220,5226) = 6

GCF of 5220 and 5226

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

GCF of:
and

Greatest Common Factor of 5220 and 5226

GCF of 5220 and 5226 is 6

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 5226


2 5226
3 2613
13 871
67 67
1

Prime factors of 5226 are 2,3,13,67. Prime factorization of 5226 in exponential form is:

5226 = 21×31×131×671

∴ So by taking common prime factors GCF of 5220 and 5226 is 6

Greatest Common Factor of 5220 and 5226 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 5226

List of positive integer factors of 5226 that divides 5226 without a remainder.

1,2,3,6,13,26,39,67,78,134,201,402,871,1742,2613,5226

Greatest Common Factor

We found the factors and prime factorization of 5220 and 5226. The biggest common factor number is the GCF number.
So the greatest common factor 5220 and 5226 is 6.

Also check out the Least Common Multiple of 5220 and 5226

Properties of GCF 5220 and 5226

(i) The GCF of 5220 and 5226 is associative

GCF of 5220 and 5226 = GCF of 5226 and 5220

Related Greatest Common Factor of 5220

Related Greatest Common Factor of 5226

Frequently Asked Questions on GCF of 5220 and 5226

1. What is the GCF of 5220 and 5226?

Answer: GCF of 5220 and 5226 is 6.

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 5226?

Answer: Factors of 5226 are 1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226. There are 16 integers that are factors of 5226. The greatest factor of 5226 is 5226.

4. How to Find the GCF of 5220 and 5226?

Answer:

Greatest Common Factor of 5220 and 5226 = 6

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 5226

5226 = 2 x 3 x 13 x 67

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5220 and 5226 is 6