What is the Greatest Common Factor of 97200 and 97220?

Greatest common factor (GCF) of 97200 and 97220 is 20.

GCF(97200,97220) = 20

We will now calculate the prime factors of 97200 and 97220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97200 and 97220.

How to find the GCF of 97200 and 97220?

We will first find the prime factorization of 97200 and 97220. After we will calculate the factors of 97200 and 97220 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 97220

Prime factors of 97220 are 2, 5, 4861. Prime factorization of 97220 in exponential form is:

97220 = 2² × 5¹ × 4861¹

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 97220

List of positive integer factors of 97220 that divides 97200 without a remainder.

1, 2, 4, 5, 10, 20, 4861, 9722, 19444, 24305, 48610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97200 and 97220. The biggest common factor number is the GCF number.
So the greatest common factor 97200 and 97220 is 20.

Also check out the Least Common Multiple of 97200 and 97220