Greatest Common Factor of 6228 and 6232

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 6228, 6232 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6228 and 6232 is 4.

GCF(6228,6232) = 4

GCF of 6228 and 6232

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

GCF of:
and

Greatest Common Factor of 6228 and 6232

GCF of 6228 and 6232 is 4

Prime Factorization of 6228


2 6228
2 3114
3 1557
3 519
173 173
1

Prime factors of 6228 are 2,3,173. Prime factorization of 6228 in exponential form is:

6228 = 22×32×1731

Prime Factorization of 6232


2 6232
2 3116
2 1558
19 779
41 41
1

Prime factors of 6232 are 2,19,41. Prime factorization of 6232 in exponential form is:

6232 = 23×191×411

∴ So by taking common prime factors GCF of 6228 and 6232 is 4

Greatest Common Factor of 6228 and 6232 by matching factors method

Factors of 6228

List of positive integer factors of 6228 that divides 6228 without a remainder.

1,2,3,4,6,9,12,18,36,173,346,519,692,1038,1557,2076,3114,6228

Factors of 6232

List of positive integer factors of 6232 that divides 6232 without a remainder.

1,2,4,8,19,38,41,76,82,152,164,328,779,1558,3116,6232

Greatest Common Factor

We found the factors and prime factorization of 6228 and 6232. The biggest common factor number is the GCF number.
So the greatest common factor 6228 and 6232 is 4.

Also check out the Least Common Multiple of 6228 and 6232

Properties of GCF 6228 and 6232

(i) The GCF of 6228 and 6232 is associative

GCF of 6228 and 6232 = GCF of 6232 and 6228

Related Greatest Common Factor of 6228

Related Greatest Common Factor of 6232

Frequently Asked Questions on GCF of 6228 and 6232

1. What is the GCF of 6228 and 6232?

Answer: GCF of 6228 and 6232 is 4.

2. What are the Factors of 6228?

Answer: Factors of 6228 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114, 6228. There are 18 integers that are factors of 6228. The greatest factor of 6228 is 6228.

3. What are the Factors of 6232?

Answer: Factors of 6232 are 1, 2, 4, 8, 19, 38, 41, 76, 82, 152, 164, 328, 779, 1558, 3116, 6232. There are 16 integers that are factors of 6232. The greatest factor of 6232 is 6232.

4. How to Find the GCF of 6228 and 6232?

Answer:

Greatest Common Factor of 6228 and 6232 = 4

Step 1: Find the prime factorization of 6228

6228 = 2 x 2 x 3 x 3 x 173

Step 2: Find the prime factorization of 6232

6232 = 2 x 2 x 2 x 19 x 41

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 6228 and 6232 is 4