What is the Greatest Common Factor of 72867 and 72879?

Greatest common factor (GCF) of 72867 and 72879 is 3.

GCF(72867,72879) = 3

We will now calculate the prime factors of 72867 and 72879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72867 and 72879.

How to find the GCF of 72867 and 72879?

We will first find the prime factorization of 72867 and 72879. After we will calculate the factors of 72867 and 72879 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 72879

Prime factors of 72879 are 3, 17, 1429. Prime factorization of 72879 in exponential form is:

72879 = 3¹ × 17¹ × 1429¹

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 72879

List of positive integer factors of 72879 that divides 72867 without a remainder.

1, 3, 17, 51, 1429, 4287, 24293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72867 and 72879. The biggest common factor number is the GCF number.
So the greatest common factor 72867 and 72879 is 3.

Also check out the Least Common Multiple of 72867 and 72879