What is the Greatest Common Factor of 93384 and 93404?

Greatest common factor (GCF) of 93384 and 93404 is 4.

GCF(93384,93404) = 4

We will now calculate the prime factors of 93384 and 93404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93384 and 93404.

How to find the GCF of 93384 and 93404?

We will first find the prime factorization of 93384 and 93404. After we will calculate the factors of 93384 and 93404 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 93404

Prime factors of 93404 are 2, 19, 1229. Prime factorization of 93404 in exponential form is:

93404 = 2² × 19¹ × 1229¹

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 93404

List of positive integer factors of 93404 that divides 93384 without a remainder.

1, 2, 4, 19, 38, 76, 1229, 2458, 4916, 23351, 46702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93384 and 93404. The biggest common factor number is the GCF number.
So the greatest common factor 93384 and 93404 is 4.

Also check out the Least Common Multiple of 93384 and 93404