What is the Greatest Common Factor of 72330 and 72350?

Greatest common factor (GCF) of 72330 and 72350 is 10.

GCF(72330,72350) = 10

We will now calculate the prime factors of 72330 and 72350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72330 and 72350.

How to find the GCF of 72330 and 72350?

We will first find the prime factorization of 72330 and 72350. After we will calculate the factors of 72330 and 72350 and find the biggest common factor number .

Step-1: Prime Factorization of 72330

Prime factors of 72330 are 2, 3, 5, 2411. Prime factorization of 72330 in exponential form is:

72330 = 2¹ × 3¹ × 5¹ × 2411¹

Step-2: 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-3: Factors of 72330

List of positive integer factors of 72330 that divides 72330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2411, 4822, 7233, 12055, 14466, 24110, 36165

Step-4: Factors of 72350

List of positive integer factors of 72350 that divides 72330 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72330 and 72350. The biggest common factor number is the GCF number.
So the greatest common factor 72330 and 72350 is 10.

Also check out the Least Common Multiple of 72330 and 72350