What is the Greatest Common Factor of 72360 and 72367?

Greatest common factor (GCF) of 72360 and 72367 is 1.

GCF(72360,72367) = 1

We will now calculate the prime factors of 72360 and 72367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72360 and 72367.

How to find the GCF of 72360 and 72367?

We will first find the prime factorization of 72360 and 72367. After we will calculate the factors of 72360 and 72367 and find the biggest common factor number .

Step-1: Prime Factorization of 72360

Prime factors of 72360 are 2, 3, 5, 67. Prime factorization of 72360 in exponential form is:

72360 = 2³ × 3³ × 5¹ × 67¹

Step-2: Prime Factorization of 72367

Prime factors of 72367 are 72367. Prime factorization of 72367 in exponential form is:

72367 = 72367¹

Step-3: Factors of 72360

List of positive integer factors of 72360 that divides 72360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 67, 72, 90, 108, 120, 134, 135, 180, 201, 216, 268, 270, 335, 360, 402, 536, 540, 603, 670, 804, 1005, 1080, 1206, 1340, 1608, 1809, 2010, 2412, 2680, 3015, 3618, 4020, 4824, 6030, 7236, 8040, 9045, 12060, 14472, 18090, 24120, 36180

Step-4: Factors of 72367

List of positive integer factors of 72367 that divides 72360 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72360 and 72367. The biggest common factor number is the GCF number.
So the greatest common factor 72360 and 72367 is 1.

Also check out the Least Common Multiple of 72360 and 72367