What is the Greatest Common Factor of 10314 and 10328?

Greatest common factor (GCF) of 10314 and 10328 is 2.

GCF(10314,10328) = 2

We will now calculate the prime factors of 10314 and 10328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10314 and 10328.

How to find the GCF of 10314 and 10328?

We will first find the prime factorization of 10314 and 10328. After we will calculate the factors of 10314 and 10328 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 10328

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

10328 = 2³ × 1291¹

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 10328

List of positive integer factors of 10328 that divides 10314 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10314 and 10328. The biggest common factor number is the GCF number.
So the greatest common factor 10314 and 10328 is 2.

Also check out the Least Common Multiple of 10314 and 10328