What is the Greatest Common Factor of 10314 and 10332?

Greatest common factor (GCF) of 10314 and 10332 is 18.

GCF(10314,10332) = 18

We will now calculate the prime factors of 10314 and 10332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10314 and 10332.

How to find the GCF of 10314 and 10332?

We will first find the prime factorization of 10314 and 10332. After we will calculate the factors of 10314 and 10332 and find the biggest common factor number .

Step-1: Prime Factorization of 10314

Prime factors of 10314 are 2, 3, 191. Prime factorization of 10314 in exponential form is:

10314 = 2¹ × 3³ × 191¹

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 10314

List of positive integer factors of 10314 that divides 10314 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 191, 382, 573, 1146, 1719, 3438, 5157

Step-4: Factors of 10332

List of positive integer factors of 10332 that divides 10314 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 10314 and 10332. The biggest common factor number is the GCF number.
So the greatest common factor 10314 and 10332 is 18.

Also check out the Least Common Multiple of 10314 and 10332