What is the Greatest Common Factor of 72350 and 72360?

Greatest common factor (GCF) of 72350 and 72360 is 10.

GCF(72350,72360) = 10

We will now calculate the prime factors of 72350 and 72360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72350 and 72360.

How to find the GCF of 72350 and 72360?

We will first find the prime factorization of 72350 and 72360. After we will calculate the factors of 72350 and 72360 and find the biggest common factor number .

Step-1: Prime Factorization of 72350

Prime factors of 72350 are 2, 5, 1447. Prime factorization of 72350 in exponential form is:

72350 = 2¹ × 5² × 1447¹

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 72350

List of positive integer factors of 72350 that divides 72350 without a remainder.

1, 2, 5, 10, 25, 50, 1447, 2894, 7235, 14470, 36175

Step-4: Factors of 72360

List of positive integer factors of 72360 that divides 72350 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 72350 and 72360. The biggest common factor number is the GCF number.
So the greatest common factor 72350 and 72360 is 10.

Also check out the Least Common Multiple of 72350 and 72360