What is the Greatest Common Factor of 93933 and 93947?

Greatest common factor (GCF) of 93933 and 93947 is 7.

GCF(93933,93947) = 7

We will now calculate the prime factors of 93933 and 93947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93933 and 93947.

How to find the GCF of 93933 and 93947?

We will first find the prime factorization of 93933 and 93947. After we will calculate the factors of 93933 and 93947 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 93947

Prime factors of 93947 are 7, 13421. Prime factorization of 93947 in exponential form is:

93947 = 7¹ × 13421¹

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 93947

List of positive integer factors of 93947 that divides 93933 without a remainder.

1, 7, 13421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93933 and 93947. The biggest common factor number is the GCF number.
So the greatest common factor 93933 and 93947 is 7.

Also check out the Least Common Multiple of 93933 and 93947