Greatest Common Factor of 226 and 232

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 226, 232 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 226 and 232 is 2.

GCF(226,232) = 2

GCF of 226 and 232

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

GCF of:
and

Greatest Common Factor of 226 and 232

GCF of 226 and 232 is 2

Prime Factorization of 226


2 226
113 113
1

Prime factors of 226 are 2,113. Prime factorization of 226 in exponential form is:

226 = 21×1131

Prime Factorization of 232


2 232
2 116
2 58
29 29
1

Prime factors of 232 are 2,29. Prime factorization of 232 in exponential form is:

232 = 23×291

∴ So by taking common prime factors GCF of 226 and 232 is 2

Greatest Common Factor of 226 and 232 by matching factors method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors and prime factorization of 226 and 232. The biggest common factor number is the GCF number.
So the greatest common factor 226 and 232 is 2.

Also check out the Least Common Multiple of 226 and 232

Properties of GCF 226 and 232

(i) The GCF of 226 and 232 is associative

GCF of 226 and 232 = GCF of 232 and 226

Related Greatest Common Factor of 226

Related Greatest Common Factor of 232

Frequently Asked Questions on GCF of 226 and 232

1. What is the GCF of 226 and 232?

Answer: GCF of 226 and 232 is 2.

2. What are the Factors of 226?

Answer: Factors of 226 are 1, 2, 113, 226. There are 4 integers that are factors of 226. The greatest factor of 226 is 226.

3. What are the Factors of 232?

Answer: Factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232. There are 8 integers that are factors of 232. The greatest factor of 232 is 232.

4. How to Find the GCF of 226 and 232?

Answer:

Greatest Common Factor of 226 and 232 = 2

Step 1: Find the prime factorization of 226

226 = 2 x 113

Step 2: Find the prime factorization of 232

232 = 2 x 2 x 2 x 29

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

GCF = 2

Step 4: Therefore, the greatest common factor of 226 and 232 is 2