What is the Greatest Common Factor of 72342 and 72360?

Greatest common factor (GCF) of 72342 and 72360 is 18.

GCF(72342,72360) = 18

We will now calculate the prime factors of 72342 and 72360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72342 and 72360.

How to find the GCF of 72342 and 72360?

We will first find the prime factorization of 72342 and 72360. After we will calculate the factors of 72342 and 72360 and find the biggest common factor number .

Step-1: Prime Factorization of 72342

Prime factors of 72342 are 2, 3, 4019. Prime factorization of 72342 in exponential form is:

72342 = 2¹ × 3² × 4019¹

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 72342

List of positive integer factors of 72342 that divides 72342 without a remainder.

1, 2, 3, 6, 9, 18, 4019, 8038, 12057, 24114, 36171

Step-4: Factors of 72360

List of positive integer factors of 72360 that divides 72342 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 72342 and 72360. The biggest common factor number is the GCF number.
So the greatest common factor 72342 and 72360 is 18.

Also check out the Least Common Multiple of 72342 and 72360