What is the Greatest Common Factor of 72736 and 72741?

Greatest common factor (GCF) of 72736 and 72741 is 1.

GCF(72736,72741) = 1

We will now calculate the prime factors of 72736 and 72741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72736 and 72741.

How to find the GCF of 72736 and 72741?

We will first find the prime factorization of 72736 and 72741. After we will calculate the factors of 72736 and 72741 and find the biggest common factor number .

Step-1: Prime Factorization of 72736

Prime factors of 72736 are 2, 2273. Prime factorization of 72736 in exponential form is:

72736 = 2⁵ × 2273¹

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 72736

List of positive integer factors of 72736 that divides 72736 without a remainder.

1, 2, 4, 8, 16, 32, 2273, 4546, 9092, 18184, 36368

Step-4: Factors of 72741

List of positive integer factors of 72741 that divides 72736 without a remainder.

1, 3, 24247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72736 and 72741. The biggest common factor number is the GCF number.
So the greatest common factor 72736 and 72741 is 1.

Also check out the Least Common Multiple of 72736 and 72741