What is the Greatest Common Factor of 72879 and 72897?

Greatest common factor (GCF) of 72879 and 72897 is 3.

GCF(72879,72897) = 3

We will now calculate the prime factors of 72879 and 72897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72879 and 72897.

How to find the GCF of 72879 and 72897?

We will first find the prime factorization of 72879 and 72897. After we will calculate the factors of 72879 and 72897 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72897

Prime factors of 72897 are 3, 11, 47. Prime factorization of 72897 in exponential form is:

72897 = 3¹ × 11¹ × 47²

Step-3: Factors of 72879

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

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

Step-4: Factors of 72897

List of positive integer factors of 72897 that divides 72879 without a remainder.

1, 3, 11, 33, 47, 141, 517, 1551, 2209, 6627, 24299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72879 and 72897. The biggest common factor number is the GCF number.
So the greatest common factor 72879 and 72897 is 3.

Also check out the Least Common Multiple of 72879 and 72897