What is the Greatest Common Factor of 93168 and 93174?

Greatest common factor (GCF) of 93168 and 93174 is 6.

GCF(93168,93174) = 6

We will now calculate the prime factors of 93168 and 93174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93168 and 93174.

How to find the GCF of 93168 and 93174?

We will first find the prime factorization of 93168 and 93174. After we will calculate the factors of 93168 and 93174 and find the biggest common factor number .

Step-1: Prime Factorization of 93168

Prime factors of 93168 are 2, 3, 647. Prime factorization of 93168 in exponential form is:

93168 = 2⁴ × 3² × 647¹

Step-2: Prime Factorization of 93174

Prime factors of 93174 are 2, 3, 53, 293. Prime factorization of 93174 in exponential form is:

93174 = 2¹ × 3¹ × 53¹ × 293¹

Step-3: Factors of 93168

List of positive integer factors of 93168 that divides 93168 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 647, 1294, 1941, 2588, 3882, 5176, 5823, 7764, 10352, 11646, 15528, 23292, 31056, 46584

Step-4: Factors of 93174

List of positive integer factors of 93174 that divides 93168 without a remainder.

1, 2, 3, 6, 53, 106, 159, 293, 318, 586, 879, 1758, 15529, 31058, 46587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93168 and 93174. The biggest common factor number is the GCF number.
So the greatest common factor 93168 and 93174 is 6.

Also check out the Least Common Multiple of 93168 and 93174