What is the Greatest Common Factor of 93873 and 93882?

Greatest common factor (GCF) of 93873 and 93882 is 3.

GCF(93873,93882) = 3

We will now calculate the prime factors of 93873 and 93882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93873 and 93882.

How to find the GCF of 93873 and 93882?

We will first find the prime factorization of 93873 and 93882. After we will calculate the factors of 93873 and 93882 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 93882

Prime factors of 93882 are 2, 3, 15647. Prime factorization of 93882 in exponential form is:

93882 = 2¹ × 3¹ × 15647¹

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 93882

List of positive integer factors of 93882 that divides 93873 without a remainder.

1, 2, 3, 6, 15647, 31294, 46941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93873 and 93882. The biggest common factor number is the GCF number.
So the greatest common factor 93873 and 93882 is 3.

Also check out the Least Common Multiple of 93873 and 93882