What is the Greatest Common Factor of 72330 and 72335?

Greatest common factor (GCF) of 72330 and 72335 is 5.

GCF(72330,72335) = 5

We will now calculate the prime factors of 72330 and 72335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72330 and 72335.

How to find the GCF of 72330 and 72335?

We will first find the prime factorization of 72330 and 72335. After we will calculate the factors of 72330 and 72335 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 72335

Prime factors of 72335 are 5, 17, 23, 37. Prime factorization of 72335 in exponential form is:

72335 = 5¹ × 17¹ × 23¹ × 37¹

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 72335

List of positive integer factors of 72335 that divides 72330 without a remainder.

1, 5, 17, 23, 37, 85, 115, 185, 391, 629, 851, 1955, 3145, 4255, 14467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72330 and 72335. The biggest common factor number is the GCF number.
So the greatest common factor 72330 and 72335 is 5.

Also check out the Least Common Multiple of 72330 and 72335