What is the Greatest Common Factor of 72735 and 72745?

Greatest common factor (GCF) of 72735 and 72745 is 5.

GCF(72735,72745) = 5

We will now calculate the prime factors of 72735 and 72745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72735 and 72745.

How to find the GCF of 72735 and 72745?

We will first find the prime factorization of 72735 and 72745. After we will calculate the factors of 72735 and 72745 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 72745

Prime factors of 72745 are 5, 14549. Prime factorization of 72745 in exponential form is:

72745 = 5¹ × 14549¹

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 72745

List of positive integer factors of 72745 that divides 72735 without a remainder.

1, 5, 14549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72735 and 72745. The biggest common factor number is the GCF number.
So the greatest common factor 72735 and 72745 is 5.

Also check out the Least Common Multiple of 72735 and 72745