What is the Greatest Common Factor of 72351 and 72360?

Greatest common factor (GCF) of 72351 and 72360 is 9.

GCF(72351,72360) = 9

We will now calculate the prime factors of 72351 and 72360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72351 and 72360.

How to find the GCF of 72351 and 72360?

We will first find the prime factorization of 72351 and 72360. After we will calculate the factors of 72351 and 72360 and find the biggest common factor number .

Step-1: Prime Factorization of 72351

Prime factors of 72351 are 3, 8039. Prime factorization of 72351 in exponential form is:

72351 = 3² × 8039¹

Step-2: 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-3: Factors of 72351

List of positive integer factors of 72351 that divides 72351 without a remainder.

1, 3, 9, 8039, 24117

Step-4: Factors of 72360

List of positive integer factors of 72360 that divides 72351 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72351 and 72360. The biggest common factor number is the GCF number.
So the greatest common factor 72351 and 72360 is 9.

Also check out the Least Common Multiple of 72351 and 72360