What is the Greatest Common Factor of 96404 and 96412?

Greatest common factor (GCF) of 96404 and 96412 is 4.

GCF(96404,96412) = 4

We will now calculate the prime factors of 96404 and 96412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96404 and 96412.

How to find the GCF of 96404 and 96412?

We will first find the prime factorization of 96404 and 96412. After we will calculate the factors of 96404 and 96412 and find the biggest common factor number .

Step-1: Prime Factorization of 96404

Prime factors of 96404 are 2, 7, 11, 313. Prime factorization of 96404 in exponential form is:

96404 = 2² × 7¹ × 11¹ × 313¹

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 96404

List of positive integer factors of 96404 that divides 96404 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308, 313, 626, 1252, 2191, 3443, 4382, 6886, 8764, 13772, 24101, 48202

Step-4: Factors of 96412

List of positive integer factors of 96412 that divides 96404 without a remainder.

1, 2, 4, 24103, 48206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96404 and 96412. The biggest common factor number is the GCF number.
So the greatest common factor 96404 and 96412 is 4.

Also check out the Least Common Multiple of 96404 and 96412