What is the Greatest Common Factor of 10316 and 10332?

Greatest common factor (GCF) of 10316 and 10332 is 4.

GCF(10316,10332) = 4

We will now calculate the prime factors of 10316 and 10332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10316 and 10332.

How to find the GCF of 10316 and 10332?

We will first find the prime factorization of 10316 and 10332. After we will calculate the factors of 10316 and 10332 and find the biggest common factor number .

Step-1: Prime Factorization of 10316

Prime factors of 10316 are 2, 2579. Prime factorization of 10316 in exponential form is:

10316 = 2² × 2579¹

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 10316

List of positive integer factors of 10316 that divides 10316 without a remainder.

1, 2, 4, 2579, 5158

Step-4: Factors of 10332

List of positive integer factors of 10332 that divides 10316 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 10316 and 10332. The biggest common factor number is the GCF number.
So the greatest common factor 10316 and 10332 is 4.

Also check out the Least Common Multiple of 10316 and 10332