What is the Greatest Common Factor of 93846 and 93852?

Greatest common factor (GCF) of 93846 and 93852 is 6.

GCF(93846,93852) = 6

We will now calculate the prime factors of 93846 and 93852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93846 and 93852.

How to find the GCF of 93846 and 93852?

We will first find the prime factorization of 93846 and 93852. After we will calculate the factors of 93846 and 93852 and find the biggest common factor number .

Step-1: Prime Factorization of 93846

Prime factors of 93846 are 2, 3, 15641. Prime factorization of 93846 in exponential form is:

93846 = 2¹ × 3¹ × 15641¹

Step-2: 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-3: Factors of 93846

List of positive integer factors of 93846 that divides 93846 without a remainder.

1, 2, 3, 6, 15641, 31282, 46923

Step-4: Factors of 93852

List of positive integer factors of 93852 that divides 93846 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93846 and 93852. The biggest common factor number is the GCF number.
So the greatest common factor 93846 and 93852 is 6.

Also check out the Least Common Multiple of 93846 and 93852