What is the Greatest Common Factor of 96400 and 96412?

Greatest common factor (GCF) of 96400 and 96412 is 4.

GCF(96400,96412) = 4

We will now calculate the prime factors of 96400 and 96412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96400 and 96412.

How to find the GCF of 96400 and 96412?

We will first find the prime factorization of 96400 and 96412. After we will calculate the factors of 96400 and 96412 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 96412

Prime factors of 96412 are 2, 24103. Prime factorization of 96412 in exponential form is:

96412 = 2² × 24103¹

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 96412

List of positive integer factors of 96412 that divides 96400 without a remainder.

1, 2, 4, 24103, 48206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96400 and 96412. The biggest common factor number is the GCF number.
So the greatest common factor 96400 and 96412 is 4.

Also check out the Least Common Multiple of 96400 and 96412