What is the Greatest Common Factor of 93432 and 93449?

Greatest common factor (GCF) of 93432 and 93449 is 17.

GCF(93432,93449) = 17

We will now calculate the prime factors of 93432 and 93449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93432 and 93449.

How to find the GCF of 93432 and 93449?

We will first find the prime factorization of 93432 and 93449. After we will calculate the factors of 93432 and 93449 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93449

Prime factors of 93449 are 17, 23, 239. Prime factorization of 93449 in exponential form is:

93449 = 17¹ × 23¹ × 239¹

Step-3: Factors of 93432

List of positive integer factors of 93432 that divides 93432 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

Step-4: Factors of 93449

List of positive integer factors of 93449 that divides 93432 without a remainder.

1, 17, 23, 239, 391, 4063, 5497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93432 and 93449. The biggest common factor number is the GCF number.
So the greatest common factor 93432 and 93449 is 17.

Also check out the Least Common Multiple of 93432 and 93449