What is the Greatest Common Factor of 93852 and 93858?

Greatest common factor (GCF) of 93852 and 93858 is 6.

GCF(93852,93858) = 6

We will now calculate the prime factors of 93852 and 93858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93852 and 93858.

How to find the GCF of 93852 and 93858?

We will first find the prime factorization of 93852 and 93858. After we will calculate the factors of 93852 and 93858 and find the biggest common factor number .

Step-1: Prime Factorization of 93852

Prime factors of 93852 are 2, 3, 11, 79. Prime factorization of 93852 in exponential form is:

93852 = 2² × 3³ × 11¹ × 79¹

Step-2: Prime Factorization of 93858

Prime factors of 93858 are 2, 3, 15643. Prime factorization of 93858 in exponential form is:

93858 = 2¹ × 3¹ × 15643¹

Step-3: Factors of 93852

List of positive integer factors of 93852 that divides 93852 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 79, 99, 108, 132, 158, 198, 237, 297, 316, 396, 474, 594, 711, 869, 948, 1188, 1422, 1738, 2133, 2607, 2844, 3476, 4266, 5214, 7821, 8532, 10428, 15642, 23463, 31284, 46926

Step-4: Factors of 93858

List of positive integer factors of 93858 that divides 93852 without a remainder.

1, 2, 3, 6, 15643, 31286, 46929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93852 and 93858. The biggest common factor number is the GCF number.
So the greatest common factor 93852 and 93858 is 6.

Also check out the Least Common Multiple of 93852 and 93858