Greatest Common Factor of 2232 and 2235

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 2232, 2235 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2232 and 2235 is 3.

GCF(2232,2235) = 3

GCF of 2232 and 2235

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

GCF of:
and

Greatest Common Factor of 2232 and 2235

GCF of 2232 and 2235 is 3

Prime Factorization of 2232


2 2232
2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 2232 are 2,3,31. Prime factorization of 2232 in exponential form is:

2232 = 23×32×311

Prime Factorization of 2235


3 2235
5 745
149 149
1

Prime factors of 2235 are 3,5,149. Prime factorization of 2235 in exponential form is:

2235 = 31×51×1491

∴ So by taking common prime factors GCF of 2232 and 2235 is 3

Greatest Common Factor of 2232 and 2235 by matching factors method

Factors of 2232

List of positive integer factors of 2232 that divides 2232 without a remainder.

1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232

Factors of 2235

List of positive integer factors of 2235 that divides 2235 without a remainder.

1,3,5,15,149,447,745,2235

Greatest Common Factor

We found the factors and prime factorization of 2232 and 2235. The biggest common factor number is the GCF number.
So the greatest common factor 2232 and 2235 is 3.

Also check out the Least Common Multiple of 2232 and 2235

Properties of GCF 2232 and 2235

(i) The GCF of 2232 and 2235 is associative

GCF of 2232 and 2235 = GCF of 2235 and 2232

Related Greatest Common Factor of 2232

Related Greatest Common Factor of 2235

Frequently Asked Questions on GCF of 2232 and 2235

1. What is the GCF of 2232 and 2235?

Answer: GCF of 2232 and 2235 is 3.

2. What are the Factors of 2232?

Answer: Factors of 2232 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232. There are 24 integers that are factors of 2232. The greatest factor of 2232 is 2232.

3. What are the Factors of 2235?

Answer: Factors of 2235 are 1, 3, 5, 15, 149, 447, 745, 2235. There are 8 integers that are factors of 2235. The greatest factor of 2235 is 2235.

4. How to Find the GCF of 2232 and 2235?

Answer:

Greatest Common Factor of 2232 and 2235 = 3

Step 1: Find the prime factorization of 2232

2232 = 2 x 2 x 2 x 3 x 3 x 31

Step 2: Find the prime factorization of 2235

2235 = 3 x 5 x 149

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2232 and 2235 is 3