What is the Greatest Common Factor of 93933 and 93938?

Greatest common factor (GCF) of 93933 and 93938 is 1.

GCF(93933,93938) = 1

We will now calculate the prime factors of 93933 and 93938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93933 and 93938.

How to find the GCF of 93933 and 93938?

We will first find the prime factorization of 93933 and 93938. After we will calculate the factors of 93933 and 93938 and find the biggest common factor number .

Step-1: Prime Factorization of 93933

Prime factors of 93933 are 3, 7, 71. Prime factorization of 93933 in exponential form is:

93933 = 3³ × 7² × 71¹

Step-2: Prime Factorization of 93938

Prime factors of 93938 are 2, 13, 3613. Prime factorization of 93938 in exponential form is:

93938 = 2¹ × 13¹ × 3613¹

Step-3: Factors of 93933

List of positive integer factors of 93933 that divides 93933 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 71, 147, 189, 213, 441, 497, 639, 1323, 1491, 1917, 3479, 4473, 10437, 13419, 31311

Step-4: Factors of 93938

List of positive integer factors of 93938 that divides 93933 without a remainder.

1, 2, 13, 26, 3613, 7226, 46969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93933 and 93938. The biggest common factor number is the GCF number.
So the greatest common factor 93933 and 93938 is 1.

Also check out the Least Common Multiple of 93933 and 93938