What is the Greatest Common Factor of 10872 and 10887?

Greatest common factor (GCF) of 10872 and 10887 is 3.

GCF(10872,10887) = 3

We will now calculate the prime factors of 10872 and 10887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10872 and 10887.

How to find the GCF of 10872 and 10887?

We will first find the prime factorization of 10872 and 10887. After we will calculate the factors of 10872 and 10887 and find the biggest common factor number .

Step-1: Prime Factorization of 10872

Prime factors of 10872 are 2, 3, 151. Prime factorization of 10872 in exponential form is:

10872 = 2³ × 3² × 151¹

Step-2: Prime Factorization of 10887

Prime factors of 10887 are 3, 19, 191. Prime factorization of 10887 in exponential form is:

10887 = 3¹ × 19¹ × 191¹

Step-3: Factors of 10872

List of positive integer factors of 10872 that divides 10872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 151, 302, 453, 604, 906, 1208, 1359, 1812, 2718, 3624, 5436

Step-4: Factors of 10887

List of positive integer factors of 10887 that divides 10872 without a remainder.

1, 3, 19, 57, 191, 573, 3629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10872 and 10887. The biggest common factor number is the GCF number.
So the greatest common factor 10872 and 10887 is 3.

Also check out the Least Common Multiple of 10872 and 10887