What is the Greatest Common Factor of 82872 and 82887?

Greatest common factor (GCF) of 82872 and 82887 is 3.

GCF(82872,82887) = 3

We will now calculate the prime factors of 82872 and 82887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82872 and 82887.

How to find the GCF of 82872 and 82887?

We will first find the prime factorization of 82872 and 82887. After we will calculate the factors of 82872 and 82887 and find the biggest common factor number .

Step-1: Prime Factorization of 82872

Prime factors of 82872 are 2, 3, 1151. Prime factorization of 82872 in exponential form is:

82872 = 2³ × 3² × 1151¹

Step-2: Prime Factorization of 82887

Prime factors of 82887 are 3, 7, 3947. Prime factorization of 82887 in exponential form is:

82887 = 3¹ × 7¹ × 3947¹

Step-3: Factors of 82872

List of positive integer factors of 82872 that divides 82872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1151, 2302, 3453, 4604, 6906, 9208, 10359, 13812, 20718, 27624, 41436

Step-4: Factors of 82887

List of positive integer factors of 82887 that divides 82872 without a remainder.

1, 3, 7, 21, 3947, 11841, 27629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82872 and 82887. The biggest common factor number is the GCF number.
So the greatest common factor 82872 and 82887 is 3.

Also check out the Least Common Multiple of 82872 and 82887