Greatest Common Factor of 3220 and 3224

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 3220, 3224 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3220 and 3224 is 4.

GCF(3220,3224) = 4

GCF of 3220 and 3224

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

GCF of:
and

Greatest Common Factor of 3220 and 3224

GCF of 3220 and 3224 is 4

Prime Factorization of 3220


2 3220
2 1610
5 805
7 161
23 23
1

Prime factors of 3220 are 2,5,7,23. Prime factorization of 3220 in exponential form is:

3220 = 22×51×71×231

Prime Factorization of 3224


2 3224
2 1612
2 806
13 403
31 31
1

Prime factors of 3224 are 2,13,31. Prime factorization of 3224 in exponential form is:

3224 = 23×131×311

∴ So by taking common prime factors GCF of 3220 and 3224 is 4

Greatest Common Factor of 3220 and 3224 by matching factors method

Factors of 3220

List of positive integer factors of 3220 that divides 3220 without a remainder.

1,2,4,5,7,10,14,20,23,28,35,46,70,92,115,140,161,230,322,460,644,805,1610,3220

Factors of 3224

List of positive integer factors of 3224 that divides 3224 without a remainder.

1,2,4,8,13,26,31,52,62,104,124,248,403,806,1612,3224

Greatest Common Factor

We found the factors and prime factorization of 3220 and 3224. The biggest common factor number is the GCF number.
So the greatest common factor 3220 and 3224 is 4.

Also check out the Least Common Multiple of 3220 and 3224

Properties of GCF 3220 and 3224

(i) The GCF of 3220 and 3224 is associative

GCF of 3220 and 3224 = GCF of 3224 and 3220

Related Greatest Common Factor of 3220

Related Greatest Common Factor of 3224

Frequently Asked Questions on GCF of 3220 and 3224

1. What is the GCF of 3220 and 3224?

Answer: GCF of 3220 and 3224 is 4.

2. What are the Factors of 3220?

Answer: Factors of 3220 are 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610, 3220. There are 24 integers that are factors of 3220. The greatest factor of 3220 is 3220.

3. What are the Factors of 3224?

Answer: Factors of 3224 are 1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224. There are 16 integers that are factors of 3224. The greatest factor of 3224 is 3224.

4. How to Find the GCF of 3220 and 3224?

Answer:

Greatest Common Factor of 3220 and 3224 = 4

Step 1: Find the prime factorization of 3220

3220 = 2 x 2 x 5 x 7 x 23

Step 2: Find the prime factorization of 3224

3224 = 2 x 2 x 2 x 13 x 31

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 3220 and 3224 is 4