What is the Greatest Common Factor of 93438 and 93456?

Greatest common factor (GCF) of 93438 and 93456 is 18.

GCF(93438,93456) = 18

We will now calculate the prime factors of 93438 and 93456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93438 and 93456.

How to find the GCF of 93438 and 93456?

We will first find the prime factorization of 93438 and 93456. After we will calculate the factors of 93438 and 93456 and find the biggest common factor number .

Step-1: Prime Factorization of 93438

Prime factors of 93438 are 2, 3, 29, 179. Prime factorization of 93438 in exponential form is:

93438 = 2¹ × 3² × 29¹ × 179¹

Step-2: Prime Factorization of 93456

Prime factors of 93456 are 2, 3, 11, 59. Prime factorization of 93456 in exponential form is:

93456 = 2⁴ × 3² × 11¹ × 59¹

Step-3: Factors of 93438

List of positive integer factors of 93438 that divides 93438 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 179, 261, 358, 522, 537, 1074, 1611, 3222, 5191, 10382, 15573, 31146, 46719

Step-4: Factors of 93456

List of positive integer factors of 93456 that divides 93438 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 59, 66, 72, 88, 99, 118, 132, 144, 176, 177, 198, 236, 264, 354, 396, 472, 528, 531, 649, 708, 792, 944, 1062, 1298, 1416, 1584, 1947, 2124, 2596, 2832, 3894, 4248, 5192, 5841, 7788, 8496, 10384, 11682, 15576, 23364, 31152, 46728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93438 and 93456. The biggest common factor number is the GCF number.
So the greatest common factor 93438 and 93456 is 18.

Also check out the Least Common Multiple of 93438 and 93456