What is the Greatest Common Factor of 97184 and 97200?

Greatest common factor (GCF) of 97184 and 97200 is 16.

GCF(97184,97200) = 16

We will now calculate the prime factors of 97184 and 97200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97184 and 97200.

How to find the GCF of 97184 and 97200?

We will first find the prime factorization of 97184 and 97200. After we will calculate the factors of 97184 and 97200 and find the biggest common factor number .

Step-1: Prime Factorization of 97184

Prime factors of 97184 are 2, 3037. Prime factorization of 97184 in exponential form is:

97184 = 2⁵ × 3037¹

Step-2: Prime Factorization of 97200

Prime factors of 97200 are 2, 3, 5. Prime factorization of 97200 in exponential form is:

97200 = 2⁴ × 3⁵ × 5²

Step-3: Factors of 97184

List of positive integer factors of 97184 that divides 97184 without a remainder.

1, 2, 4, 8, 16, 32, 3037, 6074, 12148, 24296, 48592

Step-4: Factors of 97200

List of positive integer factors of 97200 that divides 97184 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 36, 40, 45, 48, 50, 54, 60, 72, 75, 80, 81, 90, 100, 108, 120, 135, 144, 150, 162, 180, 200, 216, 225, 240, 243, 270, 300, 324, 360, 400, 405, 432, 450, 486, 540, 600, 648, 675, 720, 810, 900, 972, 1080, 1200, 1215, 1296, 1350, 1620, 1800, 1944, 2025, 2160, 2430, 2700, 3240, 3600, 3888, 4050, 4860, 5400, 6075, 6480, 8100, 9720, 10800, 12150, 16200, 19440, 24300, 32400, 48600

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97184 and 97200. The biggest common factor number is the GCF number.
So the greatest common factor 97184 and 97200 is 16.

Also check out the Least Common Multiple of 97184 and 97200