What is the Greatest Common Factor of 96400 and 96408?

Greatest common factor (GCF) of 96400 and 96408 is 8.

GCF(96400,96408) = 8

We will now calculate the prime factors of 96400 and 96408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96400 and 96408.

How to find the GCF of 96400 and 96408?

We will first find the prime factorization of 96400 and 96408. After we will calculate the factors of 96400 and 96408 and find the biggest common factor number .

Step-1: Prime Factorization of 96400

Prime factors of 96400 are 2, 5, 241. Prime factorization of 96400 in exponential form is:

96400 = 2⁴ × 5² × 241¹

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 96400

List of positive integer factors of 96400 that divides 96400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 241, 400, 482, 964, 1205, 1928, 2410, 3856, 4820, 6025, 9640, 12050, 19280, 24100, 48200

Step-4: Factors of 96408

List of positive integer factors of 96408 that divides 96400 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 96400 and 96408. The biggest common factor number is the GCF number.
So the greatest common factor 96400 and 96408 is 8.

Also check out the Least Common Multiple of 96400 and 96408