What is the Greatest Common Factor of 96404 and 96409?

Greatest common factor (GCF) of 96404 and 96409 is 1.

GCF(96404,96409) = 1

We will now calculate the prime factors of 96404 and 96409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96404 and 96409.

How to find the GCF of 96404 and 96409?

We will first find the prime factorization of 96404 and 96409. After we will calculate the factors of 96404 and 96409 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 96409

Prime factors of 96409 are 229, 421. Prime factorization of 96409 in exponential form is:

96409 = 229¹ × 421¹

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 96409

List of positive integer factors of 96409 that divides 96404 without a remainder.

1, 229, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96404 and 96409. The biggest common factor number is the GCF number.
So the greatest common factor 96404 and 96409 is 1.

Also check out the Least Common Multiple of 96404 and 96409