What is the Greatest Common Factor of 93404 and 93423?

Greatest common factor (GCF) of 93404 and 93423 is 19.

GCF(93404,93423) = 19

We will now calculate the prime factors of 93404 and 93423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93404 and 93423.

How to find the GCF of 93404 and 93423?

We will first find the prime factorization of 93404 and 93423. After we will calculate the factors of 93404 and 93423 and find the biggest common factor number .

Step-1: Prime Factorization of 93404

Prime factors of 93404 are 2, 19, 1229. Prime factorization of 93404 in exponential form is:

93404 = 2² × 19¹ × 1229¹

Step-2: Prime Factorization of 93423

Prime factors of 93423 are 3, 11, 19, 149. Prime factorization of 93423 in exponential form is:

93423 = 3¹ × 11¹ × 19¹ × 149¹

Step-3: Factors of 93404

List of positive integer factors of 93404 that divides 93404 without a remainder.

1, 2, 4, 19, 38, 76, 1229, 2458, 4916, 23351, 46702

Step-4: Factors of 93423

List of positive integer factors of 93423 that divides 93404 without a remainder.

1, 3, 11, 19, 33, 57, 149, 209, 447, 627, 1639, 2831, 4917, 8493, 31141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93404 and 93423. The biggest common factor number is the GCF number.
So the greatest common factor 93404 and 93423 is 19.

Also check out the Least Common Multiple of 93404 and 93423