What is the Greatest Common Factor of 96404 and 96418?

Greatest common factor (GCF) of 96404 and 96418 is 14.

GCF(96404,96418) = 14

We will now calculate the prime factors of 96404 and 96418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96404 and 96418.

How to find the GCF of 96404 and 96418?

We will first find the prime factorization of 96404 and 96418. After we will calculate the factors of 96404 and 96418 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 96418

Prime factors of 96418 are 2, 7, 71, 97. Prime factorization of 96418 in exponential form is:

96418 = 2¹ × 7¹ × 71¹ × 97¹

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 96418

List of positive integer factors of 96418 that divides 96404 without a remainder.

1, 2, 7, 14, 71, 97, 142, 194, 497, 679, 994, 1358, 6887, 13774, 48209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96404 and 96418. The biggest common factor number is the GCF number.
So the greatest common factor 96404 and 96418 is 14.

Also check out the Least Common Multiple of 96404 and 96418