What is the Greatest Common Factor of 93423 and 93442?

Greatest common factor (GCF) of 93423 and 93442 is 19.

GCF(93423,93442) = 19

We will now calculate the prime factors of 93423 and 93442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93423 and 93442.

How to find the GCF of 93423 and 93442?

We will first find the prime factorization of 93423 and 93442. After we will calculate the factors of 93423 and 93442 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93442

Prime factors of 93442 are 2, 19, 2459. Prime factorization of 93442 in exponential form is:

93442 = 2¹ × 19¹ × 2459¹

Step-3: Factors of 93423

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

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

Step-4: Factors of 93442

List of positive integer factors of 93442 that divides 93423 without a remainder.

1, 2, 19, 38, 2459, 4918, 46721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93423 and 93442. The biggest common factor number is the GCF number.
So the greatest common factor 93423 and 93442 is 19.

Also check out the Least Common Multiple of 93423 and 93442