Greatest Common Factor of 7228 and 7232

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 7228, 7232 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7228 and 7232 is 4.

GCF(7228,7232) = 4

GCF of 7228 and 7232

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

GCF of:
and

Greatest Common Factor of 7228 and 7232

GCF of 7228 and 7232 is 4

Prime Factorization of 7228


2 7228
2 3614
13 1807
139 139
1

Prime factors of 7228 are 2,13,139. Prime factorization of 7228 in exponential form is:

7228 = 22×131×1391

Prime Factorization of 7232


2 7232
2 3616
2 1808
2 904
2 452
2 226
113 113
1

Prime factors of 7232 are 2,113. Prime factorization of 7232 in exponential form is:

7232 = 26×1131

∴ So by taking common prime factors GCF of 7228 and 7232 is 4

Greatest Common Factor of 7228 and 7232 by matching factors method

Factors of 7228

List of positive integer factors of 7228 that divides 7228 without a remainder.

1,2,4,13,26,52,139,278,556,1807,3614,7228

Factors of 7232

List of positive integer factors of 7232 that divides 7232 without a remainder.

1,2,4,8,16,32,64,113,226,452,904,1808,3616,7232

Greatest Common Factor

We found the factors and prime factorization of 7228 and 7232. The biggest common factor number is the GCF number.
So the greatest common factor 7228 and 7232 is 4.

Also check out the Least Common Multiple of 7228 and 7232

Properties of GCF 7228 and 7232

(i) The GCF of 7228 and 7232 is associative

GCF of 7228 and 7232 = GCF of 7232 and 7228

Related Greatest Common Factor of 7228

Related Greatest Common Factor of 7232

Frequently Asked Questions on GCF of 7228 and 7232

1. What is the GCF of 7228 and 7232?

Answer: GCF of 7228 and 7232 is 4.

2. What are the Factors of 7228?

Answer: Factors of 7228 are 1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228. There are 12 integers that are factors of 7228. The greatest factor of 7228 is 7228.

3. What are the Factors of 7232?

Answer: Factors of 7232 are 1, 2, 4, 8, 16, 32, 64, 113, 226, 452, 904, 1808, 3616, 7232. There are 14 integers that are factors of 7232. The greatest factor of 7232 is 7232.

4. How to Find the GCF of 7228 and 7232?

Answer:

Greatest Common Factor of 7228 and 7232 = 4

Step 1: Find the prime factorization of 7228

7228 = 2 x 2 x 13 x 139

Step 2: Find the prime factorization of 7232

7232 = 2 x 2 x 2 x 2 x 2 x 2 x 113

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 7228 and 7232 is 4