Greatest Common Factor of 7328 and 7332

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 7328, 7332 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7328 and 7332 is 4.

GCF(7328,7332) = 4

GCF of 7328 and 7332

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

GCF of:
and

Greatest Common Factor of 7328 and 7332

GCF of 7328 and 7332 is 4

Prime Factorization of 7328


2 7328
2 3664
2 1832
2 916
2 458
229 229
1

Prime factors of 7328 are 2,229. Prime factorization of 7328 in exponential form is:

7328 = 25×2291

Prime Factorization of 7332


2 7332
2 3666
3 1833
13 611
47 47
1

Prime factors of 7332 are 2,3,13,47. Prime factorization of 7332 in exponential form is:

7332 = 22×31×131×471

∴ So by taking common prime factors GCF of 7328 and 7332 is 4

Greatest Common Factor of 7328 and 7332 by matching factors method

Factors of 7328

List of positive integer factors of 7328 that divides 7328 without a remainder.

1,2,4,8,16,32,229,458,916,1832,3664,7328

Factors of 7332

List of positive integer factors of 7332 that divides 7332 without a remainder.

1,2,3,4,6,12,13,26,39,47,52,78,94,141,156,188,282,564,611,1222,1833,2444,3666,7332

Greatest Common Factor

We found the factors and prime factorization of 7328 and 7332. The biggest common factor number is the GCF number.
So the greatest common factor 7328 and 7332 is 4.

Also check out the Least Common Multiple of 7328 and 7332

Properties of GCF 7328 and 7332

(i) The GCF of 7328 and 7332 is associative

GCF of 7328 and 7332 = GCF of 7332 and 7328

Related Greatest Common Factor of 7328

Related Greatest Common Factor of 7332

Frequently Asked Questions on GCF of 7328 and 7332

1. What is the GCF of 7328 and 7332?

Answer: GCF of 7328 and 7332 is 4.

2. What are the Factors of 7328?

Answer: Factors of 7328 are 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328. There are 12 integers that are factors of 7328. The greatest factor of 7328 is 7328.

3. What are the Factors of 7332?

Answer: Factors of 7332 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332. There are 24 integers that are factors of 7332. The greatest factor of 7332 is 7332.

4. How to Find the GCF of 7328 and 7332?

Answer:

Greatest Common Factor of 7328 and 7332 = 4

Step 1: Find the prime factorization of 7328

7328 = 2 x 2 x 2 x 2 x 2 x 229

Step 2: Find the prime factorization of 7332

7332 = 2 x 2 x 3 x 13 x 47

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 7328 and 7332 is 4