What is the Greatest Common Factor of 67200 and 67217?

Greatest common factor (GCF) of 67200 and 67217 is 1.

GCF(67200,67217) = 1

We will now calculate the prime factors of 67200 and 67217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67200 and 67217.

How to find the GCF of 67200 and 67217?

We will first find the prime factorization of 67200 and 67217. After we will calculate the factors of 67200 and 67217 and find the biggest common factor number .

Step-1: Prime Factorization of 67200

Prime factors of 67200 are 2, 3, 5, 7. Prime factorization of 67200 in exponential form is:

67200 = 2⁷ × 3¹ × 5² × 7¹

Step-2: Prime Factorization of 67217

Prime factors of 67217 are 67217. Prime factorization of 67217 in exponential form is:

67217 = 67217¹

Step-3: Factors of 67200

List of positive integer factors of 67200 that divides 67200 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 32, 35, 40, 42, 48, 50, 56, 60, 64, 70, 75, 80, 84, 96, 100, 105, 112, 120, 128, 140, 150, 160, 168, 175, 192, 200, 210, 224, 240, 280, 300, 320, 336, 350, 384, 400, 420, 448, 480, 525, 560, 600, 640, 672, 700, 800, 840, 896, 960, 1050, 1120, 1200, 1344, 1400, 1600, 1680, 1920, 2100, 2240, 2400, 2688, 2800, 3200, 3360, 4200, 4480, 4800, 5600, 6720, 8400, 9600, 11200, 13440, 16800, 22400, 33600

Step-4: Factors of 67217

List of positive integer factors of 67217 that divides 67200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67200 and 67217. The biggest common factor number is the GCF number.
So the greatest common factor 67200 and 67217 is 1.

Also check out the Least Common Multiple of 67200 and 67217