What is the Greatest Common Factor of 93412 and 93423?

Greatest common factor (GCF) of 93412 and 93423 is 11.

GCF(93412,93423) = 11

We will now calculate the prime factors of 93412 and 93423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93412 and 93423.

How to find the GCF of 93412 and 93423?

We will first find the prime factorization of 93412 and 93423. After we will calculate the factors of 93412 and 93423 and find the biggest common factor number .

Step-1: Prime Factorization of 93412

Prime factors of 93412 are 2, 11, 193. Prime factorization of 93412 in exponential form is:

93412 = 2² × 11² × 193¹

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 93412

List of positive integer factors of 93412 that divides 93412 without a remainder.

1, 2, 4, 11, 22, 44, 121, 193, 242, 386, 484, 772, 2123, 4246, 8492, 23353, 46706

Step-4: Factors of 93423

List of positive integer factors of 93423 that divides 93412 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 93412 and 93423. The biggest common factor number is the GCF number.
So the greatest common factor 93412 and 93423 is 11.

Also check out the Least Common Multiple of 93412 and 93423