What is the Greatest Common Factor of 72865 and 72881?

Greatest common factor (GCF) of 72865 and 72881 is 1.

GCF(72865,72881) = 1

We will now calculate the prime factors of 72865 and 72881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72865 and 72881.

How to find the GCF of 72865 and 72881?

We will first find the prime factorization of 72865 and 72881. After we will calculate the factors of 72865 and 72881 and find the biggest common factor number .

Step-1: Prime Factorization of 72865

Prime factors of 72865 are 5, 13, 19, 59. Prime factorization of 72865 in exponential form is:

72865 = 5¹ × 13¹ × 19¹ × 59¹

Step-2: Prime Factorization of 72881

Prime factors of 72881 are 31, 2351. Prime factorization of 72881 in exponential form is:

72881 = 31¹ × 2351¹

Step-3: Factors of 72865

List of positive integer factors of 72865 that divides 72865 without a remainder.

1, 5, 13, 19, 59, 65, 95, 247, 295, 767, 1121, 1235, 3835, 5605, 14573

Step-4: Factors of 72881

List of positive integer factors of 72881 that divides 72865 without a remainder.

1, 31, 2351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72865 and 72881. The biggest common factor number is the GCF number.
So the greatest common factor 72865 and 72881 is 1.

Also check out the Least Common Multiple of 72865 and 72881