What is the Greatest Common Factor of 72735 and 72741?

Greatest common factor (GCF) of 72735 and 72741 is 3.

GCF(72735,72741) = 3

We will now calculate the prime factors of 72735 and 72741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72735 and 72741.

How to find the GCF of 72735 and 72741?

We will first find the prime factorization of 72735 and 72741. After we will calculate the factors of 72735 and 72741 and find the biggest common factor number .

Step-1: Prime Factorization of 72735

Prime factors of 72735 are 3, 5, 13, 373. Prime factorization of 72735 in exponential form is:

72735 = 3¹ × 5¹ × 13¹ × 373¹

Step-2: Prime Factorization of 72741

Prime factors of 72741 are 3, 24247. Prime factorization of 72741 in exponential form is:

72741 = 3¹ × 24247¹

Step-3: Factors of 72735

List of positive integer factors of 72735 that divides 72735 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 373, 1119, 1865, 4849, 5595, 14547, 24245

Step-4: Factors of 72741

List of positive integer factors of 72741 that divides 72735 without a remainder.

1, 3, 24247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72735 and 72741. The biggest common factor number is the GCF number.
So the greatest common factor 72735 and 72741 is 3.

Also check out the Least Common Multiple of 72735 and 72741