Greatest Common Factor of 5224 and 5228

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, 5228 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5224 and 5228 is 4.

GCF(5224,5228) = 4

GCF of 5224 and 5228

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

GCF of:
and

Greatest Common Factor of 5224 and 5228

GCF of 5224 and 5228 is 4

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 5228


2 5228
2 2614
1307 1307
1

Prime factors of 5228 are 2,1307. Prime factorization of 5228 in exponential form is:

5228 = 22×13071

∴ So by taking common prime factors GCF of 5224 and 5228 is 4

Greatest Common Factor of 5224 and 5228 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 5228

List of positive integer factors of 5228 that divides 5228 without a remainder.

1,2,4,1307,2614,5228

Greatest Common Factor

We found the factors and prime factorization of 5224 and 5228. The biggest common factor number is the GCF number.
So the greatest common factor 5224 and 5228 is 4.

Also check out the Least Common Multiple of 5224 and 5228

Properties of GCF 5224 and 5228

(i) The GCF of 5224 and 5228 is associative

GCF of 5224 and 5228 = GCF of 5228 and 5224

Related Greatest Common Factor of 5224

Related Greatest Common Factor of 5228

Frequently Asked Questions on GCF of 5224 and 5228

1. What is the GCF of 5224 and 5228?

Answer: GCF of 5224 and 5228 is 4.

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 5228?

Answer: Factors of 5228 are 1, 2, 4, 1307, 2614, 5228. There are 6 integers that are factors of 5228. The greatest factor of 5228 is 5228.

4. How to Find the GCF of 5224 and 5228?

Answer:

Greatest Common Factor of 5224 and 5228 = 4

Step 1: Find the prime factorization of 5224

5224 = 2 x 2 x 2 x 653

Step 2: Find the prime factorization of 5228

5228 = 2 x 2 x 1307

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 5224 and 5228 is 4