Greatest Common Factor of 10324 and 10332

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, 10332 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10324 and 10332 is 4.

GCF(10324,10332) = 4

GCF of 10324 and 10332

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

GCF of:
and

Greatest Common Factor of 10324 and 10332

GCF of 10324 and 10332 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 10332


2 10332
2 5166
3 2583
3 861
7 287
41 41
1

Prime factors of 10332 are 2,3,7,41. Prime factorization of 10332 in exponential form is:

10332 = 22×32×71×411

∴ So by taking common prime factors GCF of 10324 and 10332 is 4

Greatest Common Factor of 10324 and 10332 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 10332

List of positive integer factors of 10332 that divides 10332 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,41,42,63,82,84,123,126,164,246,252,287,369,492,574,738,861,1148,1476,1722,2583,3444,5166,10332

Greatest Common Factor

We found the factors and prime factorization of 10324 and 10332. The biggest common factor number is the GCF number.
So the greatest common factor 10324 and 10332 is 4.

Also check out the Least Common Multiple of 10324 and 10332

Properties of GCF 10324 and 10332

(i) The GCF of 10324 and 10332 is associative

GCF of 10324 and 10332 = GCF of 10332 and 10324

Related Greatest Common Factor of 10324

Related Greatest Common Factor of 10332

Frequently Asked Questions on GCF of 10324 and 10332

1. What is the GCF of 10324 and 10332?

Answer: GCF of 10324 and 10332 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 10332?

Answer: Factors of 10332 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 41, 42, 63, 82, 84, 123, 126, 164, 246, 252, 287, 369, 492, 574, 738, 861, 1148, 1476, 1722, 2583, 3444, 5166, 10332. There are 36 integers that are factors of 10332. The greatest factor of 10332 is 10332.

4. How to Find the GCF of 10324 and 10332?

Answer:

Greatest Common Factor of 10324 and 10332 = 4

Step 1: Find the prime factorization of 10324

10324 = 2 x 2 x 29 x 89

Step 2: Find the prime factorization of 10332

10332 = 2 x 2 x 3 x 3 x 7 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 10324 and 10332 is 4