What is the Greatest Common Factor of 93384 and 93402?

Greatest common factor (GCF) of 93384 and 93402 is 18.

GCF(93384,93402) = 18

We will now calculate the prime factors of 93384 and 93402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93384 and 93402.

How to find the GCF of 93384 and 93402?

We will first find the prime factorization of 93384 and 93402. After we will calculate the factors of 93384 and 93402 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 93402

Prime factors of 93402 are 2, 3, 5189. Prime factorization of 93402 in exponential form is:

93402 = 2¹ × 3² × 5189¹

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 93402

List of positive integer factors of 93402 that divides 93384 without a remainder.

1, 2, 3, 6, 9, 18, 5189, 10378, 15567, 31134, 46701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93384 and 93402. The biggest common factor number is the GCF number.
So the greatest common factor 93384 and 93402 is 18.

Also check out the Least Common Multiple of 93384 and 93402