What is the Greatest Common Factor of 96395 and 96408?

Greatest common factor (GCF) of 96395 and 96408 is 13.

GCF(96395,96408) = 13

We will now calculate the prime factors of 96395 and 96408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96395 and 96408.

How to find the GCF of 96395 and 96408?

We will first find the prime factorization of 96395 and 96408. After we will calculate the factors of 96395 and 96408 and find the biggest common factor number .

Step-1: Prime Factorization of 96395

Prime factors of 96395 are 5, 13, 1483. Prime factorization of 96395 in exponential form is:

96395 = 5¹ × 13¹ × 1483¹

Step-2: Prime Factorization of 96408

Prime factors of 96408 are 2, 3, 13, 103. Prime factorization of 96408 in exponential form is:

96408 = 2³ × 3² × 13¹ × 103¹

Step-3: Factors of 96395

List of positive integer factors of 96395 that divides 96395 without a remainder.

1, 5, 13, 65, 1483, 7415, 19279

Step-4: Factors of 96408

List of positive integer factors of 96408 that divides 96395 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 103, 104, 117, 156, 206, 234, 309, 312, 412, 468, 618, 824, 927, 936, 1236, 1339, 1854, 2472, 2678, 3708, 4017, 5356, 7416, 8034, 10712, 12051, 16068, 24102, 32136, 48204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96395 and 96408. The biggest common factor number is the GCF number.
So the greatest common factor 96395 and 96408 is 13.

Also check out the Least Common Multiple of 96395 and 96408