What is the Greatest Common Factor of 93384 and 93390?

Greatest common factor (GCF) of 93384 and 93390 is 6.

GCF(93384,93390) = 6

We will now calculate the prime factors of 93384 and 93390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93384 and 93390.

How to find the GCF of 93384 and 93390?

We will first find the prime factorization of 93384 and 93390. After we will calculate the factors of 93384 and 93390 and find the biggest common factor number .

Step-1: Prime Factorization of 93384

Prime factors of 93384 are 2, 3, 1297. Prime factorization of 93384 in exponential form is:

93384 = 2³ × 3² × 1297¹

Step-2: Prime Factorization of 93390

Prime factors of 93390 are 2, 3, 5, 11, 283. Prime factorization of 93390 in exponential form is:

93390 = 2¹ × 3¹ × 5¹ × 11¹ × 283¹

Step-3: Factors of 93384

List of positive integer factors of 93384 that divides 93384 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1297, 2594, 3891, 5188, 7782, 10376, 11673, 15564, 23346, 31128, 46692

Step-4: Factors of 93390

List of positive integer factors of 93390 that divides 93384 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 283, 330, 566, 849, 1415, 1698, 2830, 3113, 4245, 6226, 8490, 9339, 15565, 18678, 31130, 46695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93384 and 93390. The biggest common factor number is the GCF number.
So the greatest common factor 93384 and 93390 is 6.

Also check out the Least Common Multiple of 93384 and 93390