What is the Greatest Common Factor of 73200 and 73217?

Greatest common factor (GCF) of 73200 and 73217 is 1.

GCF(73200,73217) = 1

We will now calculate the prime factors of 73200 and 73217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73200 and 73217.

How to find the GCF of 73200 and 73217?

We will first find the prime factorization of 73200 and 73217. After we will calculate the factors of 73200 and 73217 and find the biggest common factor number .

Step-1: Prime Factorization of 73200

Prime factors of 73200 are 2, 3, 5, 61. Prime factorization of 73200 in exponential form is:

73200 = 2⁴ × 3¹ × 5² × 61¹

Step-2: Prime Factorization of 73217

Prime factors of 73217 are 211, 347. Prime factorization of 73217 in exponential form is:

73217 = 211¹ × 347¹

Step-3: Factors of 73200

List of positive integer factors of 73200 that divides 73200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 61, 75, 80, 100, 120, 122, 150, 183, 200, 240, 244, 300, 305, 366, 400, 488, 600, 610, 732, 915, 976, 1200, 1220, 1464, 1525, 1830, 2440, 2928, 3050, 3660, 4575, 4880, 6100, 7320, 9150, 12200, 14640, 18300, 24400, 36600

Step-4: Factors of 73217

List of positive integer factors of 73217 that divides 73200 without a remainder.

1, 211, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73200 and 73217. The biggest common factor number is the GCF number.
So the greatest common factor 73200 and 73217 is 1.

Also check out the Least Common Multiple of 73200 and 73217