What is the Greatest Common Factor of 97200 and 97215?

Greatest common factor (GCF) of 97200 and 97215 is 15.

GCF(97200,97215) = 15

We will now calculate the prime factors of 97200 and 97215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97200 and 97215.

How to find the GCF of 97200 and 97215?

We will first find the prime factorization of 97200 and 97215. After we will calculate the factors of 97200 and 97215 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 97215

Prime factors of 97215 are 3, 5, 6481. Prime factorization of 97215 in exponential form is:

97215 = 3¹ × 5¹ × 6481¹

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 97215

List of positive integer factors of 97215 that divides 97200 without a remainder.

1, 3, 5, 15, 6481, 19443, 32405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97200 and 97215. The biggest common factor number is the GCF number.
So the greatest common factor 97200 and 97215 is 15.

Also check out the Least Common Multiple of 97200 and 97215