What is the Greatest Common Factor of 93873 and 93886?

Greatest common factor (GCF) of 93873 and 93886 is 13.

GCF(93873,93886) = 13

We will now calculate the prime factors of 93873 and 93886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93873 and 93886.

How to find the GCF of 93873 and 93886?

We will first find the prime factorization of 93873 and 93886. After we will calculate the factors of 93873 and 93886 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 93886

Prime factors of 93886 are 2, 13, 23, 157. Prime factorization of 93886 in exponential form is:

93886 = 2¹ × 13¹ × 23¹ × 157¹

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 93886

List of positive integer factors of 93886 that divides 93873 without a remainder.

1, 2, 13, 23, 26, 46, 157, 299, 314, 598, 2041, 3611, 4082, 7222, 46943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93873 and 93886. The biggest common factor number is the GCF number.
So the greatest common factor 93873 and 93886 is 13.

Also check out the Least Common Multiple of 93873 and 93886