Greatest Common Factor of 232 and 236

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 232, 236 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 232 and 236 is 4.

GCF(232,236) = 4

GCF of 232 and 236

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

GCF of:
and

Greatest Common Factor of 232 and 236

GCF of 232 and 236 is 4

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

Prime Factorization of 236


2 236
2 118
59 59
1

Prime factors of 236 are 2,59. Prime factorization of 236 in exponential form is:

236 = 22×591

∴ So by taking common prime factors GCF of 232 and 236 is 4

Greatest Common Factor of 232 and 236 by matching factors method

Factors of 232

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

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

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors and prime factorization of 232 and 236. The biggest common factor number is the GCF number.
So the greatest common factor 232 and 236 is 4.

Also check out the Least Common Multiple of 232 and 236

Properties of GCF 232 and 236

(i) The GCF of 232 and 236 is associative

GCF of 232 and 236 = GCF of 236 and 232

Related Greatest Common Factor of 232

Related Greatest Common Factor of 236

Frequently Asked Questions on GCF of 232 and 236

1. What is the GCF of 232 and 236?

Answer: GCF of 232 and 236 is 4.

2. 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.

3. What are the Factors of 236?

Answer: Factors of 236 are 1, 2, 4, 59, 118, 236. There are 6 integers that are factors of 236. The greatest factor of 236 is 236.

4. How to Find the GCF of 232 and 236?

Answer:

Greatest Common Factor of 232 and 236 = 4

Step 1: Find the prime factorization of 232

232 = 2 x 2 x 2 x 29

Step 2: Find the prime factorization of 236

236 = 2 x 2 x 59

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 232 and 236 is 4