Greatest Common Factor of 3228 and 3232

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 3228, 3232 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3228 and 3232 is 4.

GCF(3228,3232) = 4

GCF of 3228 and 3232

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

GCF of:
and

Greatest Common Factor of 3228 and 3232

GCF of 3228 and 3232 is 4

Prime Factorization of 3228


2 3228
2 1614
3 807
269 269
1

Prime factors of 3228 are 2,3,269. Prime factorization of 3228 in exponential form is:

3228 = 22×31×2691

Prime Factorization of 3232


2 3232
2 1616
2 808
2 404
2 202
101 101
1

Prime factors of 3232 are 2,101. Prime factorization of 3232 in exponential form is:

3232 = 25×1011

∴ So by taking common prime factors GCF of 3228 and 3232 is 4

Greatest Common Factor of 3228 and 3232 by matching factors method

Factors of 3228

List of positive integer factors of 3228 that divides 3228 without a remainder.

1,2,3,4,6,12,269,538,807,1076,1614,3228

Factors of 3232

List of positive integer factors of 3232 that divides 3232 without a remainder.

1,2,4,8,16,32,101,202,404,808,1616,3232

Greatest Common Factor

We found the factors and prime factorization of 3228 and 3232. The biggest common factor number is the GCF number.
So the greatest common factor 3228 and 3232 is 4.

Also check out the Least Common Multiple of 3228 and 3232

Properties of GCF 3228 and 3232

(i) The GCF of 3228 and 3232 is associative

GCF of 3228 and 3232 = GCF of 3232 and 3228

Related Greatest Common Factor of 3228

Related Greatest Common Factor of 3232

Frequently Asked Questions on GCF of 3228 and 3232

1. What is the GCF of 3228 and 3232?

Answer: GCF of 3228 and 3232 is 4.

2. What are the Factors of 3228?

Answer: Factors of 3228 are 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228. There are 12 integers that are factors of 3228. The greatest factor of 3228 is 3228.

3. What are the Factors of 3232?

Answer: Factors of 3232 are 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232. There are 12 integers that are factors of 3232. The greatest factor of 3232 is 3232.

4. How to Find the GCF of 3228 and 3232?

Answer:

Greatest Common Factor of 3228 and 3232 = 4

Step 1: Find the prime factorization of 3228

3228 = 2 x 2 x 3 x 269

Step 2: Find the prime factorization of 3232

3232 = 2 x 2 x 2 x 2 x 2 x 101

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 3228 and 3232 is 4