What is the Greatest Common Factor of 96369 and 96382?

Greatest common factor (GCF) of 96369 and 96382 is 13.

GCF(96369,96382) = 13

We will now calculate the prime factors of 96369 and 96382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96369 and 96382.

How to find the GCF of 96369 and 96382?

We will first find the prime factorization of 96369 and 96382. After we will calculate the factors of 96369 and 96382 and find the biggest common factor number .

Step-1: Prime Factorization of 96369

Prime factors of 96369 are 3, 7, 13, 353. Prime factorization of 96369 in exponential form is:

96369 = 3¹ × 7¹ × 13¹ × 353¹

Step-2: Prime Factorization of 96382

Prime factors of 96382 are 2, 11, 13, 337. Prime factorization of 96382 in exponential form is:

96382 = 2¹ × 11¹ × 13¹ × 337¹

Step-3: Factors of 96369

List of positive integer factors of 96369 that divides 96369 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 353, 1059, 2471, 4589, 7413, 13767, 32123

Step-4: Factors of 96382

List of positive integer factors of 96382 that divides 96369 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286, 337, 674, 3707, 4381, 7414, 8762, 48191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96369 and 96382. The biggest common factor number is the GCF number.
So the greatest common factor 96369 and 96382 is 13.

Also check out the Least Common Multiple of 96369 and 96382