Greatest Common Factor of 10324 and 10328

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 10324, 10328 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10324 and 10328 is 4.

GCF(10324,10328) = 4

GCF of 10324 and 10328

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

GCF of:
and

Greatest Common Factor of 10324 and 10328

GCF of 10324 and 10328 is 4

Prime Factorization of 10324


2 10324
2 5162
29 2581
89 89
1

Prime factors of 10324 are 2,29,89. Prime factorization of 10324 in exponential form is:

10324 = 22×291×891

Prime Factorization of 10328


2 10328
2 5164
2 2582
1291 1291
1

Prime factors of 10328 are 2,1291. Prime factorization of 10328 in exponential form is:

10328 = 23×12911

∴ So by taking common prime factors GCF of 10324 and 10328 is 4

Greatest Common Factor of 10324 and 10328 by matching factors method

Factors of 10324

List of positive integer factors of 10324 that divides 10324 without a remainder.

1,2,4,29,58,89,116,178,356,2581,5162,10324

Factors of 10328

List of positive integer factors of 10328 that divides 10328 without a remainder.

1,2,4,8,1291,2582,5164,10328

Greatest Common Factor

We found the factors and prime factorization of 10324 and 10328. The biggest common factor number is the GCF number.
So the greatest common factor 10324 and 10328 is 4.

Also check out the Least Common Multiple of 10324 and 10328

Properties of GCF 10324 and 10328

(i) The GCF of 10324 and 10328 is associative

GCF of 10324 and 10328 = GCF of 10328 and 10324

Related Greatest Common Factor of 10324

Related Greatest Common Factor of 10328

Frequently Asked Questions on GCF of 10324 and 10328

1. What is the GCF of 10324 and 10328?

Answer: GCF of 10324 and 10328 is 4.

2. What are the Factors of 10324?

Answer: Factors of 10324 are 1, 2, 4, 29, 58, 89, 116, 178, 356, 2581, 5162, 10324. There are 12 integers that are factors of 10324. The greatest factor of 10324 is 10324.

3. What are the Factors of 10328?

Answer: Factors of 10328 are 1, 2, 4, 8, 1291, 2582, 5164, 10328. There are 8 integers that are factors of 10328. The greatest factor of 10328 is 10328.

4. How to Find the GCF of 10324 and 10328?

Answer:

Greatest Common Factor of 10324 and 10328 = 4

Step 1: Find the prime factorization of 10324

10324 = 2 x 2 x 29 x 89

Step 2: Find the prime factorization of 10328

10328 = 2 x 2 x 2 x 1291

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 10324 and 10328 is 4