What is the Greatest Common Factor of 72741 and 72755?

Greatest common factor (GCF) of 72741 and 72755 is 1.

GCF(72741,72755) = 1

We will now calculate the prime factors of 72741 and 72755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72741 and 72755.

How to find the GCF of 72741 and 72755?

We will first find the prime factorization of 72741 and 72755. After we will calculate the factors of 72741 and 72755 and find the biggest common factor number .

Step-1: Prime Factorization of 72741

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

72741 = 3¹ × 24247¹

Step-2: Prime Factorization of 72755

Prime factors of 72755 are 5, 14551. Prime factorization of 72755 in exponential form is:

72755 = 5¹ × 14551¹

Step-3: Factors of 72741

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

1, 3, 24247

Step-4: Factors of 72755

List of positive integer factors of 72755 that divides 72741 without a remainder.

1, 5, 14551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72741 and 72755. The biggest common factor number is the GCF number.
So the greatest common factor 72741 and 72755 is 1.

Also check out the Least Common Multiple of 72741 and 72755