What is the Greatest Common Factor of 10318 and 10332?

Greatest common factor (GCF) of 10318 and 10332 is 14.

GCF(10318,10332) = 14

We will now calculate the prime factors of 10318 and 10332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10318 and 10332.

How to find the GCF of 10318 and 10332?

We will first find the prime factorization of 10318 and 10332. After we will calculate the factors of 10318 and 10332 and find the biggest common factor number .

Step-1: Prime Factorization of 10318

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

10318 = 2¹ × 7¹ × 11¹ × 67¹

Step-2: Prime Factorization of 10332

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

10332 = 2² × 3² × 7¹ × 41¹

Step-3: 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

Step-4: Factors of 10332

List of positive integer factors of 10332 that divides 10318 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10318 and 10332. The biggest common factor number is the GCF number.
So the greatest common factor 10318 and 10332 is 14.

Also check out the Least Common Multiple of 10318 and 10332