What is the Greatest Common Factor of 67200 and 67213?

Greatest common factor (GCF) of 67200 and 67213 is 1.

GCF(67200,67213) = 1

We will now calculate the prime factors of 67200 and 67213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67200 and 67213.

How to find the GCF of 67200 and 67213?

We will first find the prime factorization of 67200 and 67213. After we will calculate the factors of 67200 and 67213 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 67213

Prime factors of 67213 are 67213. Prime factorization of 67213 in exponential form is:

67213 = 67213¹

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 67213

List of positive integer factors of 67213 that divides 67200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67200 and 67213. The biggest common factor number is the GCF number.
So the greatest common factor 67200 and 67213 is 1.

Also check out the Least Common Multiple of 67200 and 67213