What is the Greatest Common Factor of 93873 and 93891?

Greatest common factor (GCF) of 93873 and 93891 is 3.

GCF(93873,93891) = 3

We will now calculate the prime factors of 93873 and 93891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93873 and 93891.

How to find the GCF of 93873 and 93891?

We will first find the prime factorization of 93873 and 93891. After we will calculate the factors of 93873 and 93891 and find the biggest common factor number .

Step-1: Prime Factorization of 93873

Prime factors of 93873 are 3, 13, 29, 83. Prime factorization of 93873 in exponential form is:

93873 = 3¹ × 13¹ × 29¹ × 83¹

Step-2: Prime Factorization of 93891

Prime factors of 93891 are 3, 7, 17, 263. Prime factorization of 93891 in exponential form is:

93891 = 3¹ × 7¹ × 17¹ × 263¹

Step-3: Factors of 93873

List of positive integer factors of 93873 that divides 93873 without a remainder.

1, 3, 13, 29, 39, 83, 87, 249, 377, 1079, 1131, 2407, 3237, 7221, 31291

Step-4: Factors of 93891

List of positive integer factors of 93891 that divides 93873 without a remainder.

1, 3, 7, 17, 21, 51, 119, 263, 357, 789, 1841, 4471, 5523, 13413, 31297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93873 and 93891. The biggest common factor number is the GCF number.
So the greatest common factor 93873 and 93891 is 3.

Also check out the Least Common Multiple of 93873 and 93891