What is the Greatest Common Factor of 72879 and 72885?

Greatest common factor (GCF) of 72879 and 72885 is 3.

GCF(72879,72885) = 3

We will now calculate the prime factors of 72879 and 72885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72879 and 72885.

How to find the GCF of 72879 and 72885?

We will first find the prime factorization of 72879 and 72885. After we will calculate the factors of 72879 and 72885 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 72885

Prime factors of 72885 are 3, 5, 43, 113. Prime factorization of 72885 in exponential form is:

72885 = 3¹ × 5¹ × 43¹ × 113¹

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 72885

List of positive integer factors of 72885 that divides 72879 without a remainder.

1, 3, 5, 15, 43, 113, 129, 215, 339, 565, 645, 1695, 4859, 14577, 24295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72879 and 72885. The biggest common factor number is the GCF number.
So the greatest common factor 72879 and 72885 is 3.

Also check out the Least Common Multiple of 72879 and 72885