What is the Greatest Common Factor of 97200 and 97211?

Greatest common factor (GCF) of 97200 and 97211 is 1.

GCF(97200,97211) = 1

We will now calculate the prime factors of 97200 and 97211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97200 and 97211.

How to find the GCF of 97200 and 97211?

We will first find the prime factorization of 97200 and 97211. After we will calculate the factors of 97200 and 97211 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97211

Prime factors of 97211 are 41, 2371. Prime factorization of 97211 in exponential form is:

97211 = 41¹ × 2371¹

Step-3: Factors of 97200

List of positive integer factors of 97200 that divides 97200 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

Step-4: Factors of 97211

List of positive integer factors of 97211 that divides 97200 without a remainder.

1, 41, 2371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97200 and 97211. The biggest common factor number is the GCF number.
So the greatest common factor 97200 and 97211 is 1.

Also check out the Least Common Multiple of 97200 and 97211