Greatest Common Factor of 10318 and 10324

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 10318, 10324 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10318 and 10324 is 2.

GCF(10318,10324) = 2

GCF of 10318 and 10324

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

GCF of:
and

Greatest Common Factor of 10318 and 10324

GCF of 10318 and 10324 is 2

Prime Factorization of 10318


2 10318
7 5159
11 737
67 67
1

Prime factors of 10318 are 2,7,11,67. Prime factorization of 10318 in exponential form is:

10318 = 21×71×111×671

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

∴ So by taking common prime factors GCF of 10318 and 10324 is 2

Greatest Common Factor of 10318 and 10324 by matching factors method

Factors of 10318

List of positive integer factors of 10318 that divides 10318 without a remainder.

1,2,7,11,14,22,67,77,134,154,469,737,938,1474,5159,10318

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

Greatest Common Factor

We found the factors and prime factorization of 10318 and 10324. The biggest common factor number is the GCF number.
So the greatest common factor 10318 and 10324 is 2.

Also check out the Least Common Multiple of 10318 and 10324

Properties of GCF 10318 and 10324

(i) The GCF of 10318 and 10324 is associative

GCF of 10318 and 10324 = GCF of 10324 and 10318

Related Greatest Common Factor of 10318

Related Greatest Common Factor of 10324

Frequently Asked Questions on GCF of 10318 and 10324

1. What is the GCF of 10318 and 10324?

Answer: GCF of 10318 and 10324 is 2.

2. What are the Factors of 10318?

Answer: Factors of 10318 are 1, 2, 7, 11, 14, 22, 67, 77, 134, 154, 469, 737, 938, 1474, 5159, 10318. There are 16 integers that are factors of 10318. The greatest factor of 10318 is 10318.

3. 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.

4. How to Find the GCF of 10318 and 10324?

Answer:

Greatest Common Factor of 10318 and 10324 = 2

Step 1: Find the prime factorization of 10318

10318 = 2 x 7 x 11 x 67

Step 2: Find the prime factorization of 10324

10324 = 2 x 2 x 29 x 89

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 10318 and 10324 is 2