What is the Greatest Common Factor of 93423 and 93432?

Greatest common factor (GCF) of 93423 and 93432 is 3.

GCF(93423,93432) = 3

We will now calculate the prime factors of 93423 and 93432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93423 and 93432.

How to find the GCF of 93423 and 93432?

We will first find the prime factorization of 93423 and 93432. After we will calculate the factors of 93423 and 93432 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 93432

Prime factors of 93432 are 2, 3, 17, 229. Prime factorization of 93432 in exponential form is:

93432 = 2³ × 3¹ × 17¹ × 229¹

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 93432

List of positive integer factors of 93432 that divides 93423 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 229, 408, 458, 687, 916, 1374, 1832, 2748, 3893, 5496, 7786, 11679, 15572, 23358, 31144, 46716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93423 and 93432. The biggest common factor number is the GCF number.
So the greatest common factor 93423 and 93432 is 3.

Also check out the Least Common Multiple of 93423 and 93432