What is the Greatest Common Factor of 72327 and 72335?

Greatest common factor (GCF) of 72327 and 72335 is 1.

GCF(72327,72335) = 1

We will now calculate the prime factors of 72327 and 72335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72327 and 72335.

How to find the GCF of 72327 and 72335?

We will first find the prime factorization of 72327 and 72335. After we will calculate the factors of 72327 and 72335 and find the biggest common factor number .

Step-1: Prime Factorization of 72327

Prime factors of 72327 are 3, 24109. Prime factorization of 72327 in exponential form is:

72327 = 3¹ × 24109¹

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 72327

List of positive integer factors of 72327 that divides 72327 without a remainder.

1, 3, 24109

Step-4: Factors of 72335

List of positive integer factors of 72335 that divides 72327 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 72327 and 72335. The biggest common factor number is the GCF number.
So the greatest common factor 72327 and 72335 is 1.

Also check out the Least Common Multiple of 72327 and 72335