What is the Greatest Common Factor of 72867 and 72871?

Greatest common factor (GCF) of 72867 and 72871 is 1.

GCF(72867,72871) = 1

We will now calculate the prime factors of 72867 and 72871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72867 and 72871.

How to find the GCF of 72867 and 72871?

We will first find the prime factorization of 72867 and 72871. After we will calculate the factors of 72867 and 72871 and find the biggest common factor number .

Step-1: Prime Factorization of 72867

Prime factors of 72867 are 3, 107, 227. Prime factorization of 72867 in exponential form is:

72867 = 3¹ × 107¹ × 227¹

Step-2: Prime Factorization of 72871

Prime factors of 72871 are 72871. Prime factorization of 72871 in exponential form is:

72871 = 72871¹

Step-3: Factors of 72867

List of positive integer factors of 72867 that divides 72867 without a remainder.

1, 3, 107, 227, 321, 681, 24289

Step-4: Factors of 72871

List of positive integer factors of 72871 that divides 72867 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72867 and 72871. The biggest common factor number is the GCF number.
So the greatest common factor 72867 and 72871 is 1.

Also check out the Least Common Multiple of 72867 and 72871