What is the Greatest Common Factor of 93926 and 93933?

Greatest common factor (GCF) of 93926 and 93933 is 7.

GCF(93926,93933) = 7

We will now calculate the prime factors of 93926 and 93933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93926 and 93933.

How to find the GCF of 93926 and 93933?

We will first find the prime factorization of 93926 and 93933. After we will calculate the factors of 93926 and 93933 and find the biggest common factor number .

Step-1: Prime Factorization of 93926

Prime factors of 93926 are 2, 7, 6709. Prime factorization of 93926 in exponential form is:

93926 = 2¹ × 7¹ × 6709¹

Step-2: 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-3: Factors of 93926

List of positive integer factors of 93926 that divides 93926 without a remainder.

1, 2, 7, 14, 6709, 13418, 46963

Step-4: Factors of 93933

List of positive integer factors of 93933 that divides 93926 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93926 and 93933. The biggest common factor number is the GCF number.
So the greatest common factor 93926 and 93933 is 7.

Also check out the Least Common Multiple of 93926 and 93933